LMFDB - Embedded newform 583.2.q.b.21.17

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [583,2,Mod(21,583)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(583, base_ring=CyclotomicField(52)) chi = DirichletCharacter(H, H._module([26, 31])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("583.21"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 583 = 11 \cdot 53 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	583.q (of order $52$, degree $24$, minimal)

Newform invariants

comment:select newform

sage:traces = [1200] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.65527843784$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$50$ over $\Q(\zeta_{52})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{52}]$

Embedding invariants

Embedding label			21.17
Character	$\chi$	$=$	583.21
Dual form			583.2.q.b.472.17

$q$-expansion

comment:q-expansion

sage:f.q_expansion() # note that sage often uses an isomorphic number field

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.12153 - 0.349482i) q^{2} +(-0.626396 - 0.281918i) q^{3} +(-0.510283 - 0.352223i) q^{4} +(1.91299 + 0.115715i) q^{5} +(0.603995 + 0.535093i) q^{6} +(4.39178 - 2.30499i) q^{7} +(1.89814 + 2.42280i) q^{8} +(-1.67647 - 1.89235i) q^{9} +(-2.10503 - 0.798334i) q^{10} +(2.13236 + 2.54029i) q^{11} +(0.220341 + 0.364489i) q^{12} +(0.105771 - 0.0730087i) q^{13} +(-5.73105 + 1.05025i) q^{14} +(-1.16567 - 0.611791i) q^{15} +(-0.842354 - 2.22110i) q^{16} +(0.698846 + 5.75552i) q^{17} +(1.21887 + 2.70822i) q^{18} +(0.0592405 - 0.323265i) q^{19} +(-0.935411 - 0.732847i) q^{20} +(-3.40081 + 0.205711i) q^{21} +(-1.50371 - 3.59422i) q^{22} +(2.27074 + 2.27074i) q^{23} +(-0.505958 - 2.05275i) q^{24} +(-1.31739 - 0.159960i) q^{25} +(-0.144141 + 0.0449160i) q^{26} +(1.12973 + 3.62542i) q^{27} +(-3.05292 - 0.370692i) q^{28} +(7.97939 - 1.96674i) q^{29} +(1.09352 + 1.09352i) q^{30} +(1.45393 - 2.40510i) q^{31} +(-0.203180 - 3.35897i) q^{32} +(-0.619547 - 2.19238i) q^{33} +(1.22767 - 6.69920i) q^{34} +(8.66818 - 3.90123i) q^{35} +(0.188948 + 1.55612i) q^{36} +(0.312520 - 0.118523i) q^{37} +(-0.179415 + 0.341847i) q^{38} +(-0.0868372 + 0.0159135i) q^{39} +(3.35078 + 4.85444i) q^{40} +(-3.45693 - 5.71847i) q^{41} +(3.88600 + 0.957812i) q^{42} +(-0.623342 + 1.64362i) q^{43} +(-0.193358 - 2.04733i) q^{44} +(-2.98811 - 3.81404i) q^{45} +(-1.75311 - 3.34027i) q^{46} +(-1.24369 - 1.10181i) q^{47} +(-0.0985221 + 1.62876i) q^{48} +(9.99835 - 14.4851i) q^{49} +(1.42158 + 0.639803i) q^{50} +(1.18483 - 3.80225i) q^{51} -0.0796886 q^{52} +(0.925033 - 7.22110i) q^{53} -4.46082i q^{54} +(3.78523 + 5.10630i) q^{55} +(13.9207 + 6.26522i) q^{56} +(-0.128242 + 0.185791i) q^{57} +(-9.63644 - 0.582897i) q^{58} +(4.35638 - 4.91733i) q^{59} +(0.379335 + 0.722762i) q^{60} +(3.99579 + 5.10025i) q^{61} +(-2.47116 + 2.18926i) q^{62} +(-11.7245 - 4.44653i) q^{63} +(-2.08300 + 8.45107i) q^{64} +(0.210788 - 0.127426i) q^{65} +(-0.0713573 + 2.67533i) q^{66} +(-3.87406 + 0.709949i) q^{67} +(1.67061 - 3.18309i) q^{68} +(-0.782219 - 2.06254i) q^{69} +(-11.0850 + 1.34596i) q^{70} +(-12.3373 + 5.55255i) q^{71} +(1.40259 - 7.65370i) q^{72} +(-0.240684 + 0.307210i) q^{73} +(-0.391922 + 0.0237069i) q^{74} +(0.780112 + 0.471594i) q^{75} +(-0.144091 + 0.144091i) q^{76} +(15.2202 + 6.24134i) q^{77} +(0.102952 + 0.0125006i) q^{78} +(-0.430301 - 1.38088i) q^{79} +(-1.35440 - 4.34643i) q^{80} +(-0.599790 + 4.93971i) q^{81} +(1.87854 + 7.62155i) q^{82} +(-2.05730 - 2.05730i) q^{83} +(1.80783 + 1.09287i) q^{84} +(0.670890 + 11.0911i) q^{85} +(1.27351 - 1.62551i) q^{86} +(-5.55272 - 1.01757i) q^{87} +(-2.10709 + 9.98809i) q^{88} +(-0.492323 - 4.05465i) q^{89} +(2.01831 + 5.32184i) q^{90} +(0.296241 - 0.564440i) q^{91} +(-0.358913 - 1.95852i) q^{92} +(-1.58878 + 1.09665i) q^{93} +(1.00977 + 1.67036i) q^{94} +(0.150733 - 0.611549i) q^{95} +(-0.819682 + 2.16132i) q^{96} +(-1.52499 + 1.35102i) q^{97} +(-16.2757 + 12.7512i) q^{98} +(1.23227 - 8.29388i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) $ 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/583\mathbb{Z}\right)^\times$.

$n$	$266$	$320$
$\chi(n)$	$-1$	$e\left(\frac{31}{52}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.12153	−	0.349482i	−0.793039	−	0.247121i	−0.125889	−	0.992044i	$-0.540178\pi$
$2$	−1.12153	−	0.349482i	−0.793039	−	0.247121i	−0.667150	+	0.744923i	$0.732486\pi$
$3$	−0.626396	−	0.281918i	−0.361650	−	0.162765i	0.221438	−	0.975174i	$-0.428925\pi$
$3$	−0.626396	−	0.281918i	−0.361650	−	0.162765i	−0.583088	+	0.812409i	$0.698156\pi$
$4$	−0.510283	−	0.352223i	−0.255141	−	0.176111i
$5$	1.91299	+	0.115715i	0.855517	+	0.0517492i	0.482312	−	0.876000i	$-0.339797\pi$
$5$	1.91299	+	0.115715i	0.855517	+	0.0517492i	0.373205	+	0.927749i	$0.378259\pi$
$6$	0.603995	+	0.535093i	0.246580	+	0.218451i
$7$	4.39178	−	2.30499i	1.65994	−	0.871203i	0.668046	−	0.744120i	$-0.267131\pi$
$7$	4.39178	−	2.30499i	1.65994	−	0.871203i	0.991892	−	0.127083i	$-0.0405614\pi$
$8$	1.89814	+	2.42280i	0.671094	+	0.856588i
$9$	−1.67647	−	1.89235i	−0.558825	−	0.630783i
$10$	−2.10503	−	0.798334i	−0.665670	−	0.252455i
$11$	2.13236	+	2.54029i	0.642929	+	0.765925i
$11$	2.13236	+	2.54029i	0.642929	+	0.765925i
$12$	0.220341	+	0.364489i	0.0636070	+	0.105219i
$13$	0.105771	−	0.0730087i	0.0293357	−	0.0202490i	−0.553307	−	0.832978i	$-0.686634\pi$
$13$	0.105771	−	0.0730087i	0.0293357	−	0.0202490i	0.582642	+	0.812729i	$0.302019\pi$
$14$	−5.73105	+	1.05025i	−1.53169	+	0.280692i
$15$	−1.16567	−	0.611791i	−0.300975	−	0.157964i
$16$	−0.842354	−	2.22110i	−0.210588	−	0.555276i
$17$	0.698846	+	5.75552i	0.169495	+	1.39592i	0.790669	+	0.612244i	$0.209733\pi$
$17$	0.698846	+	5.75552i	0.169495	+	1.39592i	−0.621173	+	0.783673i	$0.713344\pi$
$18$	1.21887	+	2.70822i	0.287290	+	0.638333i
$19$	0.0592405	−	0.323265i	0.0135907	−	0.0741621i	−0.976125	−	0.217208i	$-0.930305\pi$
$19$	0.0592405	−	0.323265i	0.0135907	−	0.0741621i	0.989716	+	0.143046i	$0.0456896\pi$
$20$	−0.935411	−	0.732847i	−0.209164	−	0.163870i
$21$	−3.40081	+	0.205711i	−0.742118	+	0.0448899i
$22$	−1.50371	−	3.59422i	−0.320592	−	0.766290i
$23$	2.27074	+	2.27074i	0.473481	+	0.473481i	0.903039	−	0.429558i	$-0.141331\pi$
$23$	2.27074	+	2.27074i	0.473481	+	0.473481i	−0.429558	+	0.903039i	$0.641331\pi$
$24$	−0.505958	−	2.05275i	−0.103278	−	0.419016i
$25$	−1.31739	−	0.159960i	−0.263478	−	0.0319920i
$26$	−0.144141	+	0.0449160i	−0.0282683	+	0.00880876i
$27$	1.12973	+	3.62542i	0.217416	+	0.697712i
$28$	−3.05292	−	0.370692i	−0.576948	−	0.0700541i
$29$	7.97939	−	1.96674i	1.48174	−	0.365215i	0.586186	−	0.810177i	$-0.300629\pi$
$29$	7.97939	−	1.96674i	1.48174	−	0.365215i	0.895550	+	0.444962i	$0.146783\pi$
$30$	1.09352	+	1.09352i	0.199649	+	0.199649i
$31$	1.45393	−	2.40510i	0.261134	−	0.431968i	−0.697511	−	0.716574i	$-0.745709\pi$
$31$	1.45393	−	2.40510i	0.261134	−	0.431968i	0.958645	+	0.284606i	$0.0918628\pi$
$32$	−0.203180	−	3.35897i	−0.0359175	−	0.593787i
$33$	−0.619547	−	2.19238i	−0.107849	−	0.381644i
$34$	1.22767	−	6.69920i	0.210544	−	1.14890i
$35$	8.66818	−	3.90123i	1.46519	−	0.659428i
$36$	0.188948	+	1.55612i	0.0314913	+	0.259354i
$37$	0.312520	−	0.118523i	0.0513780	−	0.0194851i	−0.328782	−	0.944406i	$-0.606638\pi$
$37$	0.312520	−	0.118523i	0.0513780	−	0.0194851i	0.380160	+	0.924921i	$0.375869\pi$
$38$	−0.179415	+	0.341847i	−0.0291050	+	0.0554549i
$39$	−0.0868372	+	0.0159135i	−0.0139051	+	0.00254820i
$40$	3.35078	+	4.85444i	0.529805	+	0.767554i
$41$	−3.45693	−	5.71847i	−0.539882	−	0.893075i	−0.999986	−	0.00520963i	$-0.998342\pi$
$41$	−3.45693	−	5.71847i	−0.539882	−	0.893075i	0.460104	−	0.887865i	$-0.347812\pi$
$42$	3.88600	+	0.957812i	0.599622	+	0.147794i
$43$	−0.623342	+	1.64362i	−0.0950588	+	0.250649i	−0.974109	−	0.226080i	$-0.927409\pi$
$43$	−0.623342	+	1.64362i	−0.0950588	+	0.250649i	0.879050	+	0.476730i	$0.158178\pi$
$44$	−0.193358	−	2.04733i	−0.0291497	−	0.308647i
$45$	−2.98811	−	3.81404i	−0.445441	−	0.568564i
$46$	−1.75311	−	3.34027i	−0.258482	−	0.492497i
$47$	−1.24369	−	1.10181i	−0.181411	−	0.160716i	0.567530	−	0.823352i	$-0.307899\pi$
$47$	−1.24369	−	1.10181i	−0.181411	−	0.160716i	−0.748941	+	0.662637i	$0.769437\pi$
$48$	−0.0985221	+	1.62876i	−0.0142204	+	0.235092i
$49$	9.99835	−	14.4851i	1.42834	−	2.06930i
$50$	1.42158	+	0.639803i	0.201042	+	0.0904818i
$51$	1.18483	−	3.80225i	0.165909	−	0.532421i
$52$	−0.0796886			−0.0110508
$53$	0.925033	−	7.22110i	0.127063	−	0.991895i
$53$	0.925033	−	7.22110i	0.127063	−	0.991895i
$54$		−	4.46082i		−	0.607041i
$55$	3.78523	+	5.10630i	0.510401	+	0.688533i
$56$	13.9207	+	6.26522i	1.86024	+	0.837225i
$57$	−0.128242	+	0.185791i	−0.0169861	+	0.0246086i
$58$	−9.63644	−	0.582897i	−1.26533	−	0.0765382i
$59$	4.35638	−	4.91733i	0.567152	−	0.640182i	−0.393041	−	0.919521i	$-0.628577\pi$
$59$	4.35638	−	4.91733i	0.567152	−	0.640182i	0.960193	+	0.279339i	$0.0901153\pi$
$60$	0.379335	+	0.722762i	0.0489719	+	0.0933081i
$61$	3.99579	+	5.10025i	0.511608	+	0.653020i	0.972079	−	0.234655i	$-0.0753962\pi$
$61$	3.99579	+	5.10025i	0.511608	+	0.653020i	−0.460470	+	0.887675i	$0.652319\pi$
$62$	−2.47116	+	2.18926i	−0.313838	+	0.278036i
$63$	−11.7245	−	4.44653i	−1.47715	−	0.560211i
$64$	−2.08300	+	8.45107i	−0.260375	+	1.05638i
$65$	0.210788	−	0.127426i	0.0261450	−	0.0158052i
$66$	−0.0713573	+	2.67533i	−0.00878347	+	0.329310i
$67$	−3.87406	+	0.709949i	−0.473292	+	0.0867340i	−0.411607	−	0.911362i	$-0.635032\pi$
$67$	−3.87406	+	0.709949i	−0.473292	+	0.0867340i	−0.0616856	+	0.998096i	$0.519648\pi$
$68$	1.67061	−	3.18309i	0.202592	−	0.386006i
$69$	−0.782219	−	2.06254i	−0.0941681	−	0.248301i
$70$	−11.0850	+	1.34596i	−1.32491	+	0.160873i
$71$	−12.3373	+	5.55255i	−1.46416	+	0.658966i	−0.976784	−	0.214224i	$-0.931278\pi$
$71$	−12.3373	+	5.55255i	−1.46416	+	0.658966i	−0.487379	+	0.873191i	$0.662047\pi$
$72$	1.40259	−	7.65370i	0.165297	−	0.901997i
$73$	−0.240684	+	0.307210i	−0.0281699	+	0.0359562i	−0.801063	−	0.598580i	$-0.795732\pi$
$73$	−0.240684	+	0.307210i	−0.0281699	+	0.0359562i	0.772893	+	0.634536i	$0.218809\pi$
$74$	−0.391922	+	0.0237069i	−0.0455600	+	0.00275587i
$75$	0.780112	+	0.471594i	0.0900795	+	0.0544550i
$76$	−0.144091	+	0.144091i	−0.0165283	+	0.0165283i
$77$	15.2202	+	6.24134i	1.73450	+	0.711267i
$78$	0.102952	+	0.0125006i	0.0116570	+	0.00141541i
$79$	−0.430301	−	1.38088i	−0.0484126	−	0.155362i	0.927349	−	0.374197i	$-0.122082\pi$
$79$	−0.430301	−	1.38088i	−0.0484126	−	0.155362i	−0.975762	+	0.218836i	$0.929774\pi$
$80$	−1.35440	−	4.34643i	−0.151427	−	0.485946i
$81$	−0.599790	+	4.93971i	−0.0666433	+	0.548857i
$82$	1.87854	+	7.62155i	0.207450	+	0.841660i
$83$	−2.05730	−	2.05730i	−0.225818	−	0.225818i	0.585125	−	0.810943i	$-0.301045\pi$
$83$	−2.05730	−	2.05730i	−0.225818	−	0.225818i	−0.810943	+	0.585125i	$0.801045\pi$
$84$	1.80783	+	1.09287i	0.197251	+	0.119242i
$85$	0.670890	+	11.0911i	0.0727682	+	1.20300i
$86$	1.27351	−	1.62551i	0.137326	−	0.175284i
$87$	−5.55272	−	1.01757i	−0.595314	−	0.109095i
$88$	−2.10709	+	9.98809i	−0.224617	+	1.06473i
$89$	−0.492323	−	4.05465i	−0.0521861	−	0.429792i	−0.995263	−	0.0972172i	$-0.969006\pi$
$89$	−0.492323	−	4.05465i	−0.0521861	−	0.429792i	0.943077	−	0.332574i	$-0.107917\pi$
$90$	2.01831	+	5.32184i	0.212748	+	0.560971i
$91$	0.296241	−	0.564440i	0.0310545	−	0.0591694i
$92$	−0.358913	−	1.95852i	−0.0374192	−	0.204190i
$93$	−1.58878	+	1.09665i	−0.164749	+	0.113718i
$94$	1.00977	+	1.67036i	0.104149	+	0.172284i
$95$	0.150733	−	0.611549i	0.0154649	−	0.0627436i
$96$	−0.819682	+	2.16132i	−0.0836584	+	0.220589i
$97$	−1.52499	+	1.35102i	−0.154839	+	0.137175i	−0.736985	−	0.675909i	$-0.763751\pi$
$97$	−1.52499	+	1.35102i	−0.154839	+	0.137175i	0.582147	+	0.813084i	$0.302213\pi$
$98$	−16.2757	+	12.7512i	−1.64409	+	1.28807i
$99$	1.23227	−	8.29388i	0.123848	−	0.833567i
$100$	0.615899	+	0.545639i	0.0615899	+	0.0545639i
$101$	−1.82440	−	0.110356i	−0.181535	−	0.0109808i	−0.0306390	−	0.999531i	$-0.509754\pi$
$101$	−1.82440	−	0.110356i	−0.181535	−	0.0109808i	−0.150896	+	0.988550i	$0.548216\pi$
$102$	−2.65763	+	3.85025i	−0.263145	+	0.381231i
$103$	3.61548	−	8.03328i	0.356244	−	0.791542i	−0.643417	−	0.765516i	$-0.722484\pi$
$103$	3.61548	−	8.03328i	0.356244	−	0.791542i	0.999661	−	0.0260264i	$-0.00828538\pi$
$104$	0.377654	+	0.117682i	0.0370320	+	0.0115396i
$105$	−6.52954			−0.637218
$106$	−3.56109	+	7.77538i	−0.345884	+	0.755211i
$107$		−	11.4389i		−	1.10584i	−0.833234	−	0.552920i	$-0.813513\pi$
$107$		−	11.4389i		−	1.10584i	0.833234	−	0.552920i	$-0.186487\pi$
$108$	0.700475	−	2.24790i	0.0674033	−	0.216305i
$109$	−1.79741	+	3.99369i	−0.172161	+	0.382526i	−0.977697	−	0.210021i	$-0.932647\pi$
$109$	−1.79741	+	3.99369i	−0.172161	+	0.382526i	0.805536	+	0.592547i	$0.201878\pi$
$110$	−2.46068	−	7.04972i	−0.234617	−	0.672165i
$111$	−0.229175	−	0.0138626i	−0.0217524	−	0.00131578i
$112$	−8.81905	−	7.81299i	−0.833322	−	0.738259i
$113$	8.38844	+	15.9828i	0.789118	+	1.50354i	0.862400	+	0.506228i	$0.168961\pi$
$113$	8.38844	+	15.9828i	0.789118	+	1.50354i	−0.0732814	+	0.997311i	$0.523347\pi$
$114$	0.208758	−	0.163551i	0.0195519	−	0.0153180i
$115$	4.08115	+	4.60666i	0.380569	+	0.429574i
$116$	−4.76448	−	1.80693i	−0.442371	−	0.167769i
$117$	−0.315481	−	0.0777590i	−0.0291662	−	0.00718882i
$118$	−6.60431	+	3.99245i	−0.607976	+	0.367534i
$119$	16.3356	+	23.6662i	1.49748	+	2.16947i
$120$	−0.730360	−	3.98545i	−0.0666725	−	0.363820i
$121$	−1.90612	+	10.8336i	−0.173283	+	0.984872i
$122$	−2.69894	−	7.11652i	−0.244351	−	0.644299i
$123$	0.553271	+	4.55660i	0.0498868	+	0.410855i
$124$	−1.58905	+	0.715172i	−0.142701	+	0.0642243i
$125$	−11.9271	−	2.18573i	−1.06680	−	0.195498i
$126$	11.5954	+	9.08442i	1.03300	+	0.809305i
$127$	13.2661	−	0.802450i	1.17717	−	0.0712059i	0.539822	−	0.841779i	$-0.318491\pi$
$127$	13.2661	−	0.802450i	1.17717	−	0.0712059i	0.637352	+	0.770573i	$0.280030\pi$
$128$	1.80784	−	2.99054i	0.159792	−	0.264329i
$129$	0.853824	−	0.853824i	0.0751750	−	0.0751750i
$130$	−0.280938	+	0.0692449i	−0.0246399	+	0.00607318i
$131$	−0.550882	+	4.53692i	−0.0481308	+	0.396393i	0.948657	+	0.316306i	$0.102443\pi$
$131$	−0.550882	+	4.53692i	−0.0481308	+	0.396393i	−0.996788	+	0.0800865i	$0.974480\pi$
$132$	−0.456061	+	1.33695i	−0.0396950	+	0.116367i
$133$	−0.484950	−	1.55626i	−0.0420505	−	0.134945i
$134$	4.59298	+	0.557689i	0.396773	+	0.0481770i
$135$	1.74164	+	7.06613i	0.149897	+	0.608155i
$136$	−12.6179	+	12.6179i	−1.08198	+	1.08198i
$137$	6.67612	−	11.0437i	0.570380	−	0.943523i	−0.428815	−	0.903392i	$-0.641069\pi$
$137$	6.67612	−	11.0437i	0.570380	−	0.943523i	0.999194	−	0.0401306i	$-0.0127774\pi$
$138$	0.156459	+	2.58657i	0.0133186	+	0.220183i
$139$	−18.0195	−	14.1174i	−1.52839	−	1.19742i	−0.912145	−	0.409868i	$-0.865575\pi$
$139$	−18.0195	−	14.1174i	−1.52839	−	1.19742i	−0.616248	−	0.787552i	$-0.711348\pi$
$140$	−5.79732	−	1.06240i	−0.489963	−	0.0897891i
$141$	0.468421	+	1.04079i	0.0394482	+	0.0876502i
$142$	15.7771	−	1.91568i	1.32398	−	0.160761i
$143$	0.411005	+	0.113009i	0.0343700	+	0.00945029i
$144$	−2.79092	+	5.31765i	−0.232576	+	0.443137i
$145$	15.4921	−	2.83903i	1.28655	−	0.235769i
$146$	0.377298	−	0.260430i	0.0312254	−	0.0215533i
$147$	−10.3465	+	6.25470i	−0.853368	+	0.515879i
$148$	−0.201220	−	0.0495964i	−0.0165402	−	0.00407680i
$149$	2.44167	−	6.43816i	0.200029	−	0.527434i	−0.797041	−	0.603925i	$-0.793602\pi$
$149$	2.44167	−	6.43816i	0.200029	−	0.527434i	0.997070	+	0.0764912i	$0.0243717\pi$
$150$	−0.710103	−	0.801540i	−0.0579796	−	0.0654455i
$151$	−15.8227	+	12.3963i	−1.28763	+	1.00880i	−0.288960	+	0.957341i	$0.593309\pi$
$151$	−15.8227	+	12.3963i	−1.28763	+	1.00880i	−0.998675	+	0.0514561i	$0.983614\pi$
$152$	0.895652	−	0.470075i	0.0726470	−	0.0381281i
$153$	9.71984	−	10.9714i	0.785802	−	0.886988i
$154$	−14.8886	−	12.3190i	−1.19976	−	0.992694i
$155$	3.05967	−	4.43270i	0.245759	−	0.356043i
$156$	0.0499166	+	0.0224657i	0.00399653	+	0.00179869i
$157$	−17.1303	−	5.33803i	−1.36715	−	0.426021i	−0.475887	−	0.879507i	$-0.657873\pi$
$157$	−17.1303	−	5.33803i	−1.36715	−	0.426021i	−0.891264	+	0.453485i	$0.850180\pi$
$158$			1.69908i			0.135172i
$159$	−2.61520	+	4.26249i	−0.207398	+	0.338037i
$160$		−	6.44919i		−	0.509853i
$161$	15.2066	+	4.73857i	1.19845	+	0.373452i
$162$	2.39902	−	5.33041i	0.188485	−	0.418796i
$163$	−18.8917	−	13.0400i	−1.47971	−	1.02137i	−0.988648	−	0.150249i	$-0.951993\pi$
$163$	−18.8917	−	13.0400i	−1.47971	−	1.02137i	−0.491065	−	0.871123i	$-0.663392\pi$
$164$	−0.250161	+	4.13565i	−0.0195343	+	0.322940i
$165$	−0.931499	−	4.26569i	−0.0725171	−	0.332084i
$166$	1.58833	+	3.02631i	0.123278	+	0.234887i
$167$	12.5274	+	15.9901i	0.969400	+	1.23735i	0.971424	+	0.237350i	$0.0762789\pi$
$167$	12.5274	+	15.9901i	0.969400	+	1.23735i	−0.00202388	+	0.999998i	$0.500644\pi$
$168$	−6.95362	−	7.84901i	−0.536483	−	0.605564i
$169$	−4.60401	+	12.1398i	−0.354154	+	0.933828i
$170$	3.12373	−	12.6735i	0.239579	−	0.972011i
$171$	−0.711045	+	0.429842i	−0.0543750	+	0.0328708i
$172$	0.897001	−	0.619155i	0.0683957	−	0.0472101i
$173$	3.80916	+	20.7859i	0.289605	+	1.58032i	0.730596	+	0.682810i	$0.239242\pi$
$173$	3.80916	+	20.7859i	0.289605	+	1.58032i	−0.440991	+	0.897511i	$0.645373\pi$
$174$	5.87190	+	3.08181i	0.445148	+	0.233631i
$175$	−6.15439	+	2.33405i	−0.465228	+	0.176438i
$176$	3.84604	−	6.87600i	0.289906	−	0.518298i
$177$	−4.11510	+	1.85206i	−0.309310	+	0.139209i
$178$	−0.864872	+	4.71945i	−0.0648249	+	0.353738i
$179$	−11.1712	−	8.75206i	−0.834973	−	0.654160i	0.105353	−	0.994435i	$-0.466403\pi$
$179$	−11.1712	−	8.75206i	−0.834973	−	0.654160i	−0.940326	+	0.340275i	$0.889480\pi$
$180$	0.181389	+	2.99872i	0.0135200	+	0.223511i
$181$	12.4156	+	7.50547i	0.922841	+	0.557877i	0.897117	−	0.441792i	$-0.145657\pi$
$181$	12.4156	+	7.50547i	0.922841	+	0.557877i	0.0257239	+	0.999669i	$0.491811\pi$
$182$	−0.529504	+	0.529504i	−0.0392494	+	0.0392494i
$183$	−1.06509	−	4.32126i	−0.0787341	−	0.319437i
$184$	−1.19136	+	9.81171i	−0.0878281	+	0.723329i
$185$	0.611565	−	0.190571i	0.0449631	−	0.0140111i
$186$	2.16512	−	0.674678i	0.158754	−	0.0494698i
$187$	−13.1305	+	14.0481i	−0.960195	+	1.02730i
$188$	0.246550	+	1.00029i	0.0179815	+	0.0729537i
$189$	13.3180	+	13.3180i	0.968746	+	0.968746i
$190$	−0.382777	+	0.633190i	−0.0277695	+	0.0459364i
$191$	−18.9680	+	1.14735i	−1.37247	+	0.0830193i	−0.730083	−	0.683359i	$-0.760519\pi$
$191$	−18.9680	+	1.14735i	−1.37247	+	0.0830193i	−0.642390	+	0.766378i	$0.722057\pi$
$192$	3.68729	−	4.70648i	0.266107	−	0.339661i
$193$	−3.68101	−	0.674571i	−0.264965	−	0.0485566i	0.0461300	−	0.998935i	$-0.485311\pi$
$193$	−3.68101	−	0.674571i	−0.264965	−	0.0485566i	−0.311095	+	0.950379i	$0.600696\pi$
$194$	2.18247	−	0.982250i	0.156692	−	0.0705214i
$195$	−0.167960	+	0.0203941i	−0.0120279	+	0.00146045i
$196$	−10.2040	+	3.86986i	−0.728855	+	0.276418i
$197$	19.7335	+	10.3570i	1.40596	+	0.737903i	0.985542	−	0.169430i	$-0.0541926\pi$
$197$	19.7335	+	10.3570i	1.40596	+	0.737903i	0.420414	+	0.907333i	$0.361885\pi$
$198$	−4.28058	+	8.87116i	−0.304208	+	0.630446i
$199$	−18.3154	+	12.6422i	−1.29834	+	0.896182i	−0.998331	−	0.0577527i	$-0.981607\pi$
$199$	−18.3154	+	12.6422i	−1.29834	+	0.896182i	−0.300013	+	0.953935i	$0.596991\pi$
$200$	−2.11304	−	3.49539i	−0.149414	−	0.247162i
$201$	2.62685	+	0.647459i	0.185283	+	0.0456683i
$202$	2.00755	+	0.761362i	0.141251	+	0.0535693i
$203$	30.5104	−	27.0299i	2.14141	−	1.89713i
$204$	−1.94384	+	1.52290i	−0.136096	+	0.106624i
$205$	−5.95138	−	11.3394i	−0.415663	−	0.791979i
$206$	−6.86235	+	7.74599i	−0.478122	+	0.539689i
$207$	0.490193	−	8.10385i	0.0340708	−	0.563257i
$208$	−0.251257	−	0.173430i	−0.0174215	−	0.0120252i
$209$	0.947508	−	0.538828i	0.0655405	−	0.0372715i
$210$	7.32305	+	2.28196i	0.505339	+	0.157470i
$211$	5.80679			0.399756			0.199878	−	0.979821i	$-0.435945\pi$
$211$	5.80679			0.399756			0.199878	+	0.979821i	$0.435945\pi$
$212$	−3.01547	+	3.35899i	−0.207103	+	0.230696i
$213$	9.29337			0.636771
$214$	−3.99769	+	12.8290i	−0.273276	+	0.876975i
$215$	−1.38264	+	3.07210i	−0.0942953	+	0.209516i
$216$	−6.63928	+	9.61865i	−0.451745	+	0.654466i
$217$	0.841640	−	13.9140i	0.0571342	−	0.944541i
$218$	3.41157	−	3.85087i	0.231061	−	0.260814i
$219$	0.237371	−	0.124582i	0.0160401	−	0.00841848i
$220$	−0.132985	−	3.93890i	−0.00896587	−	0.265561i
$221$	0.494120	+	0.557747i	0.0332381	+	0.0375181i
$222$	0.252182	+	0.0956399i	0.0169253	+	0.00641893i
$223$	1.53609	−	6.23215i	0.102864	−	0.417336i	−0.896822	−	0.442391i	$-0.854130\pi$
$223$	1.53609	−	6.23215i	0.102864	−	0.417336i	0.999686	+	0.0250558i	$0.00797634\pi$
$224$	−8.63469	−	14.2835i	−0.576930	−	0.954358i
$225$	1.90587	+	2.76113i	0.127058	+	0.184075i
$226$	−3.82215	−	20.8568i	−0.254246	−	1.38737i
$227$	−3.55975	+	6.78253i	−0.236269	+	0.450173i	−0.974504	−	0.224371i	$-0.927967\pi$
$227$	−3.55975	+	6.78253i	−0.236269	+	0.450173i	0.738235	+	0.674544i	$0.235660\pi$
$228$	0.130880	−	0.0496361i	0.00866771	−	0.00328723i
$229$	10.0259	−	1.21736i	0.662530	−	0.0804457i	0.217638	−	0.976030i	$-0.430165\pi$
$229$	10.0259	−	1.21736i	0.662530	−	0.0804457i	0.444893	+	0.895584i	$0.353242\pi$
$230$	−2.96717	−	6.59278i	−0.195649	−	0.434715i
$231$	−7.77431	−	8.20039i	−0.511512	−	0.539546i
$232$	19.9110	+	15.5993i	1.30722	+	1.02414i
$233$	−0.558890	+	0.0338066i	−0.0366141	+	0.00221475i	−0.0786754	−	0.996900i	$-0.525069\pi$
$233$	−0.558890	+	0.0338066i	−0.0366141	+	0.00221475i	0.0420613	+	0.999115i	$0.486608\pi$
$234$	0.326645	+	0.197464i	0.0213534	+	0.0129086i
$235$	−2.25167	−	2.25167i	−0.146883	−	0.146883i
$236$	−3.95498	+	0.974815i	−0.257447	+	0.0634551i
$237$	−0.119757	+	0.986289i	−0.00777907	+	0.0640664i
$238$	−10.0499	−	32.2512i	−0.651437	−	2.09054i
$239$	2.38860	−	0.744317i	0.154506	−	0.0481459i	−0.219275	−	0.975663i	$-0.570369\pi$
$239$	2.38860	−	0.744317i	0.154506	−	0.0481459i	0.373780	+	0.927517i	$0.378061\pi$
$240$	−0.376944	+	3.10442i	−0.0243317	+	0.200389i
$241$	17.7082	−	4.36468i	1.14069	−	0.281154i	0.376667	−	0.926349i	$-0.377070\pi$
$241$	17.7082	−	4.36468i	1.14069	−	0.281154i	0.764018	+	0.645195i	$0.223224\pi$
$242$	5.92391	−	11.4840i	0.380803	−	0.738220i
$243$	7.66185	−	12.6743i	0.491508	−	0.813054i
$244$	−0.242559	−	4.00998i	−0.0155282	−	0.256712i
$245$	20.8029	−	26.5530i	1.32905	−	1.69641i
$246$	0.971940	−	5.30370i	0.0619686	−	0.338152i
$247$	−0.0173352	−	0.0385172i	−0.00110301	−	0.00245079i
$248$	8.58683	−	1.04263i	0.545264	−	0.0662071i
$249$	0.708695	+	1.86868i	0.0449117	+	0.118423i
$250$	12.6127	+	6.61967i	0.797699	+	0.418665i
$251$	3.11750	+	17.0117i	0.196775	+	1.07377i	0.922562	+	0.385848i	$0.126091\pi$
$251$	3.11750	+	17.0117i	0.196775	+	1.07377i	−0.725787	+	0.687919i	$0.758524\pi$
$252$	4.41666	+	6.39864i	0.278224	+	0.403077i
$253$	−0.926305	+	10.6103i	−0.0582363	+	0.667067i
$254$	−15.1587	−	3.73628i	−0.951142	−	0.234435i
$255$	2.70655	−	7.13658i	0.169491	−	0.446910i
$256$	9.95737	−	8.82146i	0.622336	−	0.551341i
$257$	−8.91231	−	11.3757i	−0.555935	−	0.709598i	0.424724	−	0.905323i	$-0.360371\pi$
$257$	−8.91231	−	11.3757i	−0.555935	−	0.709598i	−0.980659	+	0.195724i	$0.937294\pi$
$258$	−1.25598	+	0.659191i	−0.0781941	+	0.0410394i
$259$	1.09933	−	1.24088i	0.0683089	−	0.0771048i
$260$	−0.152444	−	0.00922115i	−0.00945417	−	0.000571872i
$261$	−17.0990	−	11.8026i	−1.05840	−	0.730562i
$262$	2.20340	−	4.89576i	0.136127	−	0.302461i
$263$	0.881598	−	2.82915i	0.0543617	−	0.174453i	−0.923547	−	0.383485i	$-0.874724\pi$
$263$	0.881598	−	2.82915i	0.0543617	−	0.174453i	0.977909	+	0.209032i	$0.0670314\pi$
$264$	4.13569	−	5.66247i	0.254534	−	0.348501i
$265$	2.60517	−	13.7069i	0.160034	−	0.842007i
$266$			1.91487i			0.117408i
$267$	−0.834688	+	2.67861i	−0.0510821	+	0.163928i
$268$	2.22693	+	1.00226i	0.136031	+	0.0612227i
$269$	15.2295	+	10.5121i	0.928556	+	0.640936i	0.933317	−	0.359053i	$-0.116900\pi$
$269$	15.2295	+	10.5121i	0.928556	+	0.640936i	−0.00476112	+	0.999989i	$0.501516\pi$
$270$	0.516183	−	8.53353i	0.0314139	−	0.519334i
$271$	−2.15847	−	1.91224i	−0.131118	−	0.116160i	0.595015	−	0.803714i	$-0.297146\pi$
$271$	−2.15847	−	1.91224i	−0.131118	−	0.116160i	−0.726133	+	0.687554i	$0.758684\pi$
$272$	12.1949	−	6.40039i	0.739426	−	0.388081i
$273$	−0.344690	+	0.270047i	−0.0208616	+	0.0163440i
$274$	−11.3470	+	10.0526i	−0.685498	+	0.607298i
$275$	−2.40280	−	3.68764i	−0.144894	−	0.222373i
$276$	−0.327321	+	1.32800i	−0.0197024	+	0.0799359i
$277$	5.09721	−	3.08137i	0.306262	−	0.185142i	−0.355857	−	0.934540i	$-0.615811\pi$
$277$	5.09721	−	3.08137i	0.306262	−	0.185142i	0.662119	+	0.749399i	$0.269657\pi$
$278$	15.2756	+	22.1305i	0.916168	+	1.32730i
$279$	−6.98876	+	1.28074i	−0.418406	+	0.0766758i
$280$	25.9053	+	13.5962i	1.54814	+	0.812526i
$281$	−2.73446	+	1.03705i	−0.163124	+	0.0618650i	−0.434815	−	0.900520i	$-0.643186\pi$
$281$	−2.73446	+	1.03705i	−0.163124	+	0.0618650i	0.271691	+	0.962385i	$0.412417\pi$
$282$	−0.161610	−	1.33098i	−0.00962373	−	0.0792585i
$283$	−3.02100	−	6.71239i	−0.179580	−	0.399010i	0.800019	−	0.599975i	$-0.204823\pi$
$283$	−3.02100	−	6.71239i	−0.179580	−	0.399010i	−0.979598	+	0.200965i	$0.935592\pi$
$284$	8.25123	+	1.51209i	0.489620	+	0.0897262i
$285$	−0.266825	+	0.340577i	−0.0158054	+	0.0201741i
$286$	−0.421459	−	0.270382i	−0.0249214	−	0.0159880i
$287$	−28.3631	−	17.1461i	−1.67422	−	1.01210i
$288$	−6.01571	+	6.01571i	−0.354479	+	0.354479i
$289$	−16.1316	+	3.97607i	−0.948916	+	0.233887i
$290$	−18.3670	−	2.23016i	−1.07855	−	0.130959i
$291$	1.33612	−	0.416352i	0.0783248	−	0.0244070i
$292$	0.231023	−	0.0719898i	0.0135196	−	0.00421288i
$293$	22.8784	+	2.77794i	1.33657	+	0.162289i	0.757417	−	0.652931i	$-0.226461\pi$
$293$	22.8784	+	2.77794i	1.33657	+	0.162289i	0.579151	+	0.815220i	$0.303384\pi$
$294$	13.7898	−	3.39889i	0.804239	−	0.198227i
$295$	8.90273	−	8.90273i	0.518337	−	0.518337i
$296$	0.880366	+	0.532200i	0.0511702	+	0.0309335i
$297$	−6.80062	+	10.6005i	−0.394612	+	0.615104i
$298$	−4.98842	+	6.36724i	−0.288971	+	0.368845i
$299$	0.405962	+	0.0743954i	0.0234774	+	0.00430239i
$300$	−0.231971	−	0.515419i	−0.0133929	−	0.0297577i
$301$	1.05093	+	8.65521i	0.0605748	+	0.498878i
$302$	22.0779	−	8.37304i	1.27044	−	0.481814i
$303$	1.11169	+	0.583458i	0.0638647	+	0.0335188i
$304$	−0.767906	+	0.140724i	−0.0440424	+	0.00807108i
$305$	7.05374	+	10.2191i	0.403896	+	0.585145i
$306$	−14.7354	+	8.90785i	−0.842366	+	0.509228i
$307$	−1.95578	+	7.93493i	−0.111622	+	0.452870i	−0.999980	−	0.00628163i	$-0.998000\pi$
$307$	−1.95578	+	7.93493i	−0.111622	+	0.452870i	0.888358	+	0.459152i	$0.151847\pi$
$308$	−5.56825	−	8.54574i	−0.317280	−	0.486939i
$309$	−4.52945	+	4.01274i	−0.257671	+	0.228277i
$310$	−4.98065	+	3.90209i	−0.282882	+	0.221624i
$311$	−13.9860	+	7.34043i	−0.793075	+	0.416238i	−0.812054	−	0.583582i	$-0.801651\pi$
$311$	−13.9860	+	7.34043i	−0.793075	+	0.416238i	0.0189793	+	0.999820i	$0.493958\pi$
$312$	−0.203384	−	0.180183i	−0.0115144	−	0.0102008i
$313$	−0.560935	+	9.27337i	−0.0317059	+	0.524162i	0.947302	+	0.320341i	$0.103798\pi$
$313$	−0.560935	+	9.27337i	−0.0317059	+	0.524162i	−0.979008	+	0.203821i	$0.934664\pi$
$314$	17.3466	+	11.9735i	0.978925	+	0.675703i
$315$	−21.9145	−	9.86289i	−1.23474	−	0.555711i
$316$	−0.266804	+	0.856203i	−0.0150089	+	0.0481652i
$317$		−	23.2706i		−	1.30701i	−0.756924	−	0.653503i	$-0.773298\pi$
$317$		−	23.2706i		−	1.30701i	0.756924	−	0.653503i	$-0.226702\pi$
$318$	4.42267	−	3.86653i	0.248011	−	0.216824i
$319$	22.0110	+	16.0761i	1.23238	+	0.900091i
$320$	−4.96268	+	15.9258i	−0.277422	+	0.890279i
$321$	−3.22483	+	7.16528i	−0.179993	+	0.399927i
$322$	−15.3986	−	10.6289i	−0.858129	−	0.592323i
$323$	1.90196	+	0.115047i	0.105828	+	0.00640140i
$324$	2.04594	−	2.30939i	0.113663	−	0.128300i
$325$	−0.151020	+	0.0792616i	−0.00837711	+	0.00439664i
$326$	16.6303	+	21.2270i	0.921068	+	1.17566i
$327$	2.25179	−	1.99491i	0.124524	−	0.110319i
$328$	7.29294	−	19.2299i	0.402685	−	1.06179i
$329$	−8.00167	−	1.97224i	−0.441146	−	0.108733i
$330$	−0.446081	+	5.10963i	−0.0245560	+	0.281276i
$331$	−8.30380	−	12.0301i	−0.456418	−	0.661236i	0.525445	−	0.850828i	$-0.323899\pi$
$331$	−8.30380	−	12.0301i	−0.456418	−	0.661236i	−0.981863	+	0.189592i	$0.939284\pi$
$332$	0.325177	+	1.77443i	0.0178464	+	0.0973847i
$333$	−0.748220	−	0.392696i	−0.0410022	−	0.0215196i
$334$	−8.46159	−	22.3114i	−0.462998	−	1.22082i
$335$	−7.49321	+	0.909841i	−0.409398	+	0.0497099i
$336$	3.32159	+	7.38028i	0.181208	+	0.402627i
$337$	0.0564333	−	0.307946i	0.00307412	−	0.0167749i	−0.982047	−	0.188636i	$-0.939593\pi$
$337$	0.0564333	−	0.307946i	0.00307412	−	0.0167749i	0.985121	+	0.171861i	$0.0549780\pi$
$338$	9.40615	−	12.0061i	0.511627	−	0.653043i
$339$	−0.748637	−	12.3764i	−0.0406604	−	0.672196i
$340$	3.56421	−	5.89592i	0.193296	−	0.319751i
$341$	9.20994	−	1.43512i	0.498746	−	0.0777160i
$342$	0.947678	−	0.233582i	0.0512445	−	0.0126306i
$343$	6.33766	−	52.1953i	0.342201	−	2.81828i
$344$	−5.16534	+	1.60959i	−0.278497	+	0.0867831i
$345$	−1.25771	−	4.03614i	−0.0677130	−	0.217299i
$346$	2.99222	−	24.6432i	0.160863	−	1.32482i
$347$	−23.8428	+	5.87671i	−1.27995	+	0.315478i	−0.819946	−	0.572440i	$-0.805997\pi$
$347$	−23.8428	+	5.87671i	−1.27995	+	0.315478i	−0.460000	+	0.887919i	$0.652151\pi$
$348$	2.47504	+	2.47504i	0.132676	+	0.132676i
$349$	−1.25655	−	0.759612i	−0.0672617	−	0.0406611i	0.483307	−	0.875451i	$-0.339435\pi$
$349$	−1.25655	−	0.759612i	−0.0672617	−	0.0406611i	−0.550569	+	0.834790i	$0.685589\pi$
$350$	7.71803	−	0.466855i	0.412546	−	0.0249544i
$351$	0.384180	+	0.300985i	0.0205060	+	0.0160654i
$352$	8.09949	−	7.67865i	0.431704	−	0.409273i
$353$	−4.06459	−	9.03115i	−0.216336	−	0.480680i	0.771490	−	0.636242i	$-0.219512\pi$
$353$	−4.06459	−	9.03115i	−0.216336	−	0.480680i	−0.987826	+	0.155562i	$0.950281\pi$
$354$	5.26246	−	0.638978i	0.279696	−	0.0339613i
$355$	−24.2436	+	9.19439i	−1.28672	+	0.487987i
$356$	−1.17691	+	2.24242i	−0.0623764	+	0.118848i
$357$	−3.56062	−	19.4297i	−0.188448	−	1.02833i
$358$	9.47009	+	13.7198i	0.500510	+	0.725114i
$359$	17.8963	+	29.6041i	0.944529	+	1.56244i	0.821628	+	0.570024i	$0.193066\pi$
$359$	17.8963	+	29.6041i	0.944529	+	1.56244i	0.122901	+	0.992419i	$0.460780\pi$
$360$	3.56880	−	14.4792i	0.188092	−	0.763120i
$361$	17.6643	+	6.69919i	0.929701	+	0.352589i
$362$	−11.3014	−	12.7566i	−0.593986	−	0.670472i
$363$	4.24817	−	6.24875i	0.222971	−	0.327974i
$364$	−0.349975	+	0.183681i	−0.0183437	+	0.00962751i
$365$	−0.495975	+	0.559841i	−0.0259605	+	0.0293034i
$366$	−0.315669	+	5.21864i	−0.0165003	+	0.272783i
$367$	−4.08503	+	5.91819i	−0.213237	+	0.308927i	−0.914977	−	0.403506i	$-0.867791\pi$
$367$	−4.08503	+	5.91819i	−0.213237	+	0.308927i	0.701740	+	0.712433i	$0.252407\pi$
$368$	3.13078	−	6.95631i	0.163203	−	0.362622i
$369$	−5.02587	+	16.1286i	−0.261636	+	0.839621i
$370$	−0.752487			−0.0391200
$371$	−12.5820	−	33.8457i	−0.653225	−	1.75718i
$372$	1.19699			0.0620612
$373$	−9.15876	−	2.85399i	−0.474223	−	0.147774i	0.0510705	−	0.998695i	$-0.483737\pi$
$373$	−9.15876	−	2.85399i	−0.474223	−	0.147774i	−0.525293	+	0.850921i	$0.676044\pi$
$374$	19.6357	−	11.1664i	1.01534	−	0.577403i
$375$	6.85491	+	4.73161i	0.353986	+	0.244339i
$376$	0.308771	−	5.10460i	0.0159237	−	0.263250i
$377$	0.700401	−	0.790590i	0.0360725	−	0.0407174i
$378$	−10.2821	−	19.5910i	−0.528856	−	1.00765i
$379$	1.53107	−	1.19952i	0.0786457	−	0.0616150i	−0.576626	−	0.817008i	$-0.695631\pi$
$379$	1.53107	−	1.19952i	0.0786457	−	0.0616150i	0.655272	+	0.755393i	$0.272554\pi$
$380$	−0.292318	+	0.258971i	−0.0149956	+	0.0132849i
$381$	−8.53604	−	3.23729i	−0.437315	−	0.165852i
$382$	21.6740	+	5.34217i	1.10894	+	0.273329i
$383$	11.4119	+	18.8776i	0.583121	+	0.964599i	0.998489	+	0.0549462i	$0.0174987\pi$
$383$	11.4119	+	18.8776i	0.583121	+	0.964599i	−0.415369	+	0.909653i	$0.636347\pi$
$384$	−1.97551	+	1.36360i	−0.100812	+	0.0695858i
$385$	28.3939	+	13.7008i	1.44709	+	0.698260i
$386$	3.89260	+	2.04300i	0.198128	+	0.103986i
$387$	4.15531	−	1.57590i	0.211226	−	0.0801076i
$388$	1.25403	−	0.152267i	0.0636639	−	0.00773020i
$389$	1.74318	−	0.784542i	0.0883827	−	0.0397778i	−0.365739	−	0.930717i	$-0.619184\pi$
$389$	1.74318	−	0.784542i	0.0883827	−	0.0397778i	0.454122	+	0.890940i	$0.349953\pi$
$390$	0.195500	+	0.0358266i	0.00989950	+	0.00181415i
$391$	−11.4824	+	14.6562i	−0.580688	+	0.741194i
$392$	54.0728	−	3.27080i	2.73109	−	0.165200i
$393$	1.62411	−	2.68661i	0.0819255	−	0.135521i
$394$	−18.5121	−	18.5121i	−0.932627	−	0.932627i
$395$	−0.663374	−	2.69141i	−0.0333780	−	0.135420i
$396$	−3.55010	+	3.79819i	−0.178399	+	0.190866i
$397$	−23.6496	+	7.36952i	−1.18694	+	0.369866i	−0.826511	−	0.562920i	$-0.809678\pi$
$397$	−23.6496	+	7.36952i	−1.18694	+	0.369866i	−0.360430	+	0.932786i	$0.617370\pi$
$398$	24.9594	−	7.77767i	1.25110	−	0.389860i
$399$	−0.134967	+	1.11155i	−0.00675678	+	0.0556471i
$400$	0.754419	+	3.06080i	0.0377210	+	0.153040i
$401$	−17.7641	+	17.7641i	−0.887098	+	0.887098i	−0.994243	−	0.107146i	$-0.965829\pi$
$401$	−17.7641	+	17.7641i	−0.887098	+	0.887098i	0.107146	+	0.994243i	$0.465829\pi$
$402$	−2.71980	−	1.64418i	−0.135651	−	0.0820041i
$403$	−0.0218087	−	0.360540i	−0.00108637	−	0.0179598i
$404$	0.892091	+	0.698909i	0.0443832	+	0.0347720i
$405$	−1.71899	+	9.38024i	−0.0854174	+	0.466108i
$406$	−43.6647	+	19.6519i	−2.16704	+	0.975308i
$407$	0.967488	+	0.541158i	0.0479566	+	0.0268242i
$408$	11.4611	−	4.34660i	0.567407	−	0.215189i
$409$	−15.8919	−	8.34072i	−0.785805	−	0.412422i	0.0235645	−	0.999722i	$-0.492498\pi$
$409$	−15.8919	−	8.34072i	−0.785805	−	0.412422i	−0.809369	+	0.587300i	$0.800191\pi$
$410$	2.71172	+	14.7974i	0.133922	+	0.730789i
$411$	−7.29530	+	5.03558i	−0.359851	+	0.248387i
$412$	−4.67442	+	2.82579i	−0.230292	+	0.139217i
$413$	7.79788	−	31.6372i	0.383709	−	1.55677i
$414$	−3.38191	+	8.91738i	−0.166212	+	0.438265i
$415$	−3.69755	−	4.17367i	−0.181505	−	0.204877i
$416$	−0.266724	−	0.340448i	−0.0130772	−	0.0166919i
$417$	7.30740	+	13.9231i	0.357845	+	0.681816i
$418$	−1.25097	+	0.273173i	−0.0611867	+	0.0133613i
$419$	−1.98321	+	32.7864i	−0.0968863	+	1.60172i	0.547355	+	0.836900i	$0.315635\pi$
$419$	−1.98321	+	32.7864i	−0.0968863	+	1.60172i	−0.644242	+	0.764822i	$0.722827\pi$
$420$	3.33191	+	2.29985i	0.162581	+	0.112221i
$421$	−8.77623	+	19.5000i	−0.427727	+	0.950371i	0.564442	+	0.825473i	$0.309091\pi$
$421$	−8.77623	+	19.5000i	−0.427727	+	0.950371i	−0.992170	+	0.124898i	$0.960140\pi$
$422$	−6.51247	−	2.02937i	−0.317022	−	0.0987881i
$423$			4.20065i			0.204243i
$424$	19.2511	−	11.4655i	0.934917	−	0.556814i
$425$		−	7.69404i		−	0.373216i
$426$	−10.4228	−	3.24787i	−0.504985	−	0.157360i
$427$	29.3046	+	13.1889i	1.41815	+	0.638258i
$428$	−4.02904	+	5.83708i	−0.194751	+	0.282146i
$429$	−0.225593	−	0.186658i	−0.0108917	−	0.00901194i
$430$	2.62431	−	2.96224i	0.126556	−	0.142852i
$431$	−34.3896	+	18.0491i	−1.65649	+	0.869393i	−0.663909	+	0.747814i	$0.731104\pi$
$431$	−34.3896	+	18.0491i	−1.65649	+	0.869393i	−0.992582	+	0.121580i	$0.961204\pi$
$432$	7.10080	−	5.56312i	0.341637	−	0.267656i
$433$	19.4419	+	21.9453i	0.934316	+	1.05462i	0.998392	+	0.0566795i	$0.0180513\pi$
$433$	19.4419	+	21.9453i	0.934316	+	1.05462i	−0.0640767	+	0.997945i	$0.520410\pi$
$434$	−5.80660	+	15.3107i	−0.278726	+	0.734939i
$435$	−10.5046	−	2.58914i	−0.503655	−	0.124140i
$436$	2.32386	−	1.40482i	0.111293	−	0.0672788i
$437$	0.868569	−	0.599530i	0.0415493	−	0.0286794i
$438$	−0.309758	+	0.0567652i	−0.0148008	+	0.00271235i
$439$	6.65892	−	12.6875i	0.317813	−	0.605542i	−0.673177	−	0.739482i	$-0.735071\pi$
$439$	6.65892	−	12.6875i	0.317813	−	0.605542i	0.990989	+	0.133940i	$0.0427630\pi$
$440$	−5.18662	+	18.8633i	−0.247262	+	0.899274i
$441$	−44.1728	+	5.36355i	−2.10347	+	0.255407i
$442$	−0.359247	−	0.798214i	−0.0170876	−	0.0379672i
$443$	15.5466	+	2.84903i	0.738643	+	0.135361i	0.536388	−	0.843971i	$-0.319788\pi$
$443$	15.5466	+	2.84903i	0.738643	+	0.135361i	0.202255	+	0.979333i	$0.435173\pi$
$444$	0.112062	+	0.0877946i	0.00531821	+	0.00416655i
$445$	−0.472629	−	7.81348i	−0.0224047	−	0.370395i
$446$	−3.90079	+	6.45269i	−0.184708	+	0.305544i
$447$	−3.34448	+	3.34448i	−0.158189	+	0.158189i
$448$	10.3315	+	41.9165i	0.488117	+	1.98037i
$449$	25.2798	+	3.06952i	1.19303	+	0.144860i	0.692862	−	0.721070i	$-0.256350\pi$
$449$	25.2798	+	3.06952i	1.19303	+	0.144860i	0.500165	+	0.865930i	$0.333273\pi$
$450$	−1.17252	−	3.76274i	−0.0552730	−	0.177377i
$451$	7.15514	−	20.9754i	0.336922	−	0.987694i
$452$	1.34904	−	11.1104i	0.0634537	−	0.522588i
$453$	13.4060	−	3.30429i	0.629870	−	0.155249i
$454$	6.36273	−	6.36273i	0.298618	−	0.298618i
$455$	0.632021	−	1.04549i	0.0296296	−	0.0490133i
$456$	−0.693555	+	0.0419524i	−0.0324787	+	0.00196460i
$457$	0.229211	+	0.179575i	0.0107220	+	0.00840018i	0.622066	−	0.782965i	$-0.286294\pi$
$457$	0.229211	+	0.179575i	0.0107220	+	0.00840018i	−0.611344	+	0.791365i	$0.709371\pi$
$458$	−11.6698	−	2.13856i	−0.545292	−	0.0999285i
$459$	−20.0766	+	9.03576i	−0.937098	+	0.421753i
$460$	−0.459968	−	3.78817i	−0.0214461	−	0.176625i
$461$	0.667986	+	1.76134i	0.0311112	+	0.0820336i	0.949672	−	0.313247i	$-0.101417\pi$
$461$	0.667986	+	1.76134i	0.0311112	+	0.0820336i	−0.918561	+	0.395280i	$0.870647\pi$
$462$	5.85321	+	11.9139i	0.272316	+	0.554287i
$463$	1.04974	+	5.72825i	0.0487856	+	0.266215i	0.998965	−	0.0454897i	$-0.0144848\pi$
$463$	1.04974	+	5.72825i	0.0487856	+	0.266215i	−0.950179	+	0.311704i	$0.899100\pi$
$464$	−11.0898	−	16.0664i	−0.514831	−	0.745862i
$465$	−3.16622	+	1.91405i	−0.146830	+	0.0887618i
$466$	0.638625	+	0.157407i	0.0295837	+	0.00729173i
$467$	−30.2245	−	11.4626i	−1.39862	−	0.530428i	−0.463926	−	0.885874i	$-0.653560\pi$
$467$	−30.2245	−	11.4626i	−1.39862	−	0.530428i	−0.934697	+	0.355446i	$0.884329\pi$
$468$	0.133596	+	0.150799i	0.00617547	+	0.00697067i
$469$	−15.3776	+	12.0476i	−0.710073	+	0.556307i
$470$	1.73839	+	3.31223i	0.0801861	+	0.152782i
$471$	9.22549	+	8.17307i	0.425088	+	0.376595i
$472$	20.1827	+	1.22083i	0.928985	+	0.0561932i
$473$	−5.50445	+	1.92131i	−0.253095	+	0.0883420i
$474$	0.479001	−	1.06430i	0.0220013	−	0.0488848i
$475$	−0.129752	+	0.416390i	−0.00595344	+	0.0191053i
$476$		−	17.8302i		−	0.817245i
$477$	−15.2156	+	10.3555i	−0.696676	+	0.474146i
$478$	−2.93900			−0.134427
$479$	15.4070	+	4.80100i	0.703962	+	0.219363i	0.628527	−	0.777787i	$-0.283658\pi$
$479$	15.4070	+	4.80100i	0.703962	+	0.219363i	0.0754342	+	0.997151i	$0.475966\pi$
$480$	−1.81814	+	4.03975i	−0.0829865	+	0.184388i
$481$	0.0244025	−	0.0353531i	0.00111266	−	0.00161196i
$482$	−21.3856	−	1.29359i	−0.974087	−	0.0589214i
$483$	−8.18947	−	7.25523i	−0.372634	−	0.330125i
$484$	4.78850	−	4.85682i	0.217659	−	0.220764i
$485$	−3.07362	+	2.40803i	−0.139566	+	0.109343i
$486$	−13.0224	+	11.5368i	−0.590708	+	0.523321i
$487$	−1.16797	+	3.07968i	−0.0529256	+	0.139553i	−0.958872	−	0.283839i	$-0.908392\pi$
$487$	−1.16797	+	3.07968i	−0.0529256	+	0.139553i	0.905946	+	0.423393i	$0.139161\pi$
$488$	−4.77230	+	19.3620i	−0.216032	+	0.876475i
$489$	8.15748	+	13.4941i	0.368894	+	0.610225i
$490$	−32.6108	+	22.5096i	−1.47321	+	1.01688i
$491$	7.13143	+	38.9150i	0.321837	+	1.75621i	0.604136	+	0.796882i	$0.293519\pi$
$491$	7.13143	+	38.9150i	0.321837	+	1.75621i	−0.282299	+	0.959327i	$0.591097\pi$
$492$	1.32261	−	2.52003i	0.0596280	−	0.113612i
$493$	16.8960	+	44.5511i	0.760957	+	2.00648i
$494$	0.00598082	+	0.0492564i	0.000269090	+	0.00221615i
$495$	3.31705	−	15.7236i	0.149090	−	0.706721i
$496$	−6.56670	−	1.20339i	−0.294853	−	0.0540339i
$497$	−41.3840	+	52.8228i	−1.85633	+	2.36943i
$498$	−0.141752	−	2.34345i	−0.00635208	−	0.105012i
$499$	−23.0286	−	13.9213i	−1.03090	−	0.623202i	−0.102483	−	0.994735i	$-0.532679\pi$
$499$	−23.0286	−	13.9213i	−1.03090	−	0.623202i	−0.928420	+	0.371533i	$0.878832\pi$
$500$	5.31635	+	5.31635i	0.237754	+	0.237754i
$501$	−3.33924	−	13.5478i	−0.149186	−	0.605272i
$502$	2.44891	−	20.1686i	0.109300	−	0.900167i
$503$	6.63354	+	21.2878i	0.295775	+	0.949175i	0.976295	+	0.216446i	$0.0694464\pi$
$503$	6.63354	+	21.2878i	0.295775	+	0.949175i	−0.680520	+	0.732730i	$0.738246\pi$
$504$	−11.4818	−	36.8463i	−0.511439	−	1.64127i
$505$	−3.47730	−	0.422221i	−0.154738	−	0.0187886i
$506$	4.74700	−	11.5761i	0.211030	−	0.514619i
$507$	6.30635	−	6.30635i	0.280075	−	0.280075i
$508$	−7.05209	−	4.26314i	−0.312886	−	0.189146i
$509$	−9.49704	+	0.574465i	−0.420949	+	0.0254627i	−0.269495	−	0.963002i	$-0.586857\pi$
$509$	−9.49704	+	0.574465i	−0.420949	+	0.0254627i	−0.151454	+	0.988464i	$0.548395\pi$
$510$	−5.52957	+	7.05797i	−0.244853	+	0.312532i
$511$	−0.348916	+	1.90397i	−0.0154351	+	0.0842268i
$512$	−20.6237	+	9.28197i	−0.911447	+	0.410209i
$513$	1.23890	−	0.150429i	0.0546986	−	0.00664161i
$514$	6.01979	+	15.8729i	0.265521	+	0.700123i
$515$	7.84597	−	14.9492i	0.345735	−	0.658742i
$516$	−0.736428	+	0.134956i	−0.0324195	+	0.00594109i
$517$	0.146932	−	5.50878i	0.00646207	−	0.242276i
$518$	−1.66659	+	1.00749i	−0.0732258	+	0.0442666i
$519$	3.47388	−	14.0941i	0.152486	−	0.618661i
$520$	0.708832	+	0.268825i	0.0310844	+	0.0117887i
$521$	26.5606	−	23.5306i	1.16364	−	1.03089i	0.164632	−	0.986355i	$-0.447356\pi$
$521$	26.5606	−	23.5306i	1.16364	−	1.03089i	0.999008	−	0.0445392i	$-0.0141820\pi$
$522$	15.0522	+	19.2127i	0.658817	+	0.840917i
$523$	0.944050	+	1.79874i	0.0412804	+	0.0786533i	0.905222	−	0.424938i	$-0.139704\pi$
$523$	0.944050	+	1.79874i	0.0412804	+	0.0786533i	−0.863942	+	0.503591i	$0.832012\pi$
$524$	1.87911	−	2.12108i	0.0820895	−	0.0926598i
$525$	4.51310	+	0.272992i	0.196968	+	0.0119144i
$526$	−1.97747	+	2.86486i	−0.0862219	+	0.124914i
$527$	14.8587	+	6.68734i	0.647253	+	0.291305i
$528$	−4.34761	+	3.22283i	−0.189206	+	0.140256i
$529$		−	12.6875i		−	0.551631i
$530$	−7.71208	+	14.4622i	−0.334991	+	0.628197i
$531$	−16.6087			−0.720754
$532$	−0.300688	+	0.964942i	−0.0130365	+	0.0418355i
$533$	−0.783142	−	0.352464i	−0.0339217	−	0.0152669i
$534$	1.87225	−	2.71242i	0.0810202	−	0.117378i
$535$	1.32365	−	21.8825i	0.0572264	−	0.946065i
$536$	−9.07358	−	8.03849i	−0.391919	−	0.347210i
$537$	4.53022	+	8.63161i	0.195493	+	0.372481i
$538$	−13.4064	−	17.1121i	−0.577993	−	0.737753i
$539$	58.1164	−	5.48873i	2.50325	−	0.236416i
$540$	1.60012	−	4.21917i	0.0688582	−	0.181564i
$541$	−40.8110	−	10.0590i	−1.75460	−	0.432470i	−0.774760	−	0.632255i	$-0.782130\pi$
$541$	−40.8110	−	10.0590i	−1.75460	−	0.432470i	−0.979840	+	0.199785i	$0.935976\pi$
$542$	1.75249	+	2.89897i	0.0752758	+	0.124521i
$543$	−5.66113	−	8.20156i	−0.242942	−	0.351963i
$544$	19.1906	−	3.51681i	0.822790	−	0.150782i
$545$	−3.90057	+	7.43192i	−0.167082	+	0.318348i
$546$	0.480955	−	0.182402i	0.0205830	−	0.00780610i
$547$	−3.10625	−	25.5822i	−0.132814	−	1.09382i	−0.894876	−	0.446315i	$-0.852736\pi$
$547$	−3.10625	−	25.5822i	−0.132814	−	1.09382i	0.762063	−	0.647503i	$-0.224187\pi$
$548$	−7.29654	+	3.28390i	−0.311693	+	0.140281i
$549$	2.95261	−	16.1119i	0.126014	−	0.687637i
$550$	1.40604	+	4.97552i	0.0599537	+	0.212157i
$551$	−0.163076	−	2.69597i	−0.00694727	−	0.114852i
$552$	3.51236	−	5.81015i	0.149496	−	0.247297i
$553$	−5.07270	−	5.07270i	−0.215713	−	0.215713i
$554$	−6.79354	+	1.67446i	−0.288630	+	0.0711409i
$555$	−0.436807	−	0.0530380i	−0.0185414	−	0.00225134i
$556$	4.22258	+	13.5507i	0.179077	+	0.574679i
$557$	−0.0207838	+	0.00647648i	−0.000880636	+	0.000274417i	−0.297943	−	0.954584i	$-0.596301\pi$
$557$	−0.0207838	+	0.00647648i	−0.000880636	+	0.000274417i	0.297063	+	0.954858i	$0.403993\pi$
$558$	8.28568	+	1.00606i	0.350761	+	0.0425901i
$559$	0.0540667	+	0.219357i	0.00228678	+	0.00927781i
$560$	−15.9667	−	15.9667i	−0.674716	−	0.674716i
$561$	12.1853	−	5.09794i	0.514463	−	0.215235i
$562$	3.42920	−	0.207429i	0.144652	−	0.00874985i
$563$	−25.9756	−	20.3506i	−1.09474	−	0.857675i	−0.104155	−	0.994561i	$-0.533214\pi$
$563$	−25.9756	−	20.3506i	−1.09474	−	0.857675i	−0.990587	+	0.136886i	$0.956291\pi$
$564$	0.127562	−	0.696085i	0.00537134	−	0.0293105i
$565$	14.1976	+	31.5457i	0.597297	+	1.32714i
$566$	1.04228	+	8.58391i	0.0438101	+	0.360809i
$567$	8.75182	+	23.0767i	0.367542	+	0.969129i
$568$	−36.8706	−	19.3512i	−1.54705	−	0.811957i
$569$	−21.9717	+	4.02646i	−0.921101	+	0.168798i	−0.619826	−	0.784739i	$-0.712797\pi$
$569$	−21.9717	+	4.02646i	−0.921101	+	0.168798i	−0.301275	+	0.953537i	$0.597412\pi$
$570$	0.418277	−	0.288716i	0.0175197	−	0.0120930i
$571$	2.07771	+	3.43696i	0.0869496	+	0.143832i	0.896229	−	0.443592i	$-0.146296\pi$
$571$	2.07771	+	3.43696i	0.0869496	+	0.143832i	−0.809279	+	0.587424i	$0.800142\pi$
$572$	−0.169924	−	0.202432i	−0.00710490	−	0.00846411i
$573$	12.2049	+	4.62871i	0.509867	+	0.193367i
$574$	25.8177	+	29.1422i	1.07761	+	1.21637i
$575$	−2.62822	−	3.35467i	−0.109604	−	0.139899i
$576$	19.4845	−	10.2262i	0.811852	−	0.426093i
$577$	−13.2482	−	11.7369i	−0.551531	−	0.488614i	0.340713	−	0.940167i	$-0.389331\pi$
$577$	−13.2482	−	11.7369i	−0.551531	−	0.488614i	−0.892244	+	0.451554i	$0.850870\pi$
$578$	19.4816	+	1.17842i	0.810326	+	0.0490157i
$579$	2.11560	+	1.46029i	0.0879212	+	0.0606877i
$580$	−8.90533	−	4.00796i	−0.369774	−	0.166422i
$581$	−13.7773	−	4.29317i	−0.571578	−	0.178111i
$582$	−1.64400			−0.0681462
$583$	20.3162	−	13.0481i	0.841410	−	0.540397i
$584$	−1.20116			−0.0497044
$585$	−0.594515	−	0.185258i	−0.0245802	−	0.00765949i
$586$	−24.6879	−	11.1111i	−1.01985	−	0.458995i
$587$	−16.2128	−	11.1909i	−0.669172	−	0.461896i	0.184413	−	0.982849i	$-0.440961\pi$
$587$	−16.2128	−	11.1909i	−0.669172	−	0.461896i	−0.853586	+	0.520952i	$0.825577\pi$
$588$	7.48271	+	0.452621i	0.308582	+	0.0186658i
$589$	−0.691352	−	0.612485i	−0.0284867	−	0.0252370i
$590$	−13.0960	+	6.87331i	−0.539153	+	0.282970i
$591$	−9.44119	−	12.0508i	−0.388359	−	0.495703i
$592$	−0.526505	−	0.594302i	−0.0216392	−	0.0244256i
$593$	−37.4044	−	14.1856i	−1.53601	−	0.582533i	−0.565748	−	0.824578i	$-0.691412\pi$
$593$	−37.4044	−	14.1856i	−1.53601	−	0.582533i	−0.970265	+	0.242045i	$0.922182\pi$
$594$	11.3318	−	9.51206i	0.464948	−	0.390285i
$595$	28.5113	+	47.1635i	1.16885	+	1.93351i
$596$	−3.51361	+	2.42527i	−0.143923	+	0.0993429i
$597$	15.0368	−	2.75559i	0.615414	−	0.112779i
$598$	−0.429298	−	0.225313i	−0.0175553	−	0.00921373i
$599$	5.33007	+	14.0542i	0.217781	+	0.574241i	0.998732	−	0.0503517i	$-0.0160342\pi$
$599$	5.33007	+	14.0542i	0.217781	+	0.574241i	−0.780951	+	0.624593i	$0.785265\pi$
$600$	0.338185	+	2.78520i	0.0138063	+	0.113705i
$601$	−2.49636	−	5.54669i	−0.101829	−	0.226254i	0.853941	−	0.520369i	$-0.174206\pi$
$601$	−2.49636	−	5.54669i	−0.101829	−	0.226254i	−0.955770	+	0.294115i	$0.904975\pi$
$602$	1.84619	−	10.0743i	0.0752451	−	0.410599i
$603$	7.83824	+	6.14087i	0.319198	+	0.250075i
$604$	12.4403	−	0.752501i	0.506190	−	0.0306188i
$605$	−4.90000	+	20.5040i	−0.199213	+	0.833607i
$606$	−1.04288	−	1.04288i	−0.0423640	−	0.0423640i
$607$	−8.36655	−	33.9444i	−0.339588	−	1.37776i	−0.854024	−	0.520234i	$-0.825845\pi$
$607$	−8.36655	−	33.9444i	−0.339588	−	1.37776i	0.514436	−	0.857529i	$-0.328001\pi$
$608$	−1.09787	−	0.133306i	−0.0445246	−	0.00540627i
$609$	−26.7318	+	8.32997i	−1.08323	+	0.337548i
$610$	−4.33957	−	13.9262i	−0.175704	−	0.563854i
$611$	−0.211988	−	0.0257401i	−0.00857613	−	0.00104133i
$612$	−8.82426	+	2.17498i	−0.356699	+	0.0879185i
$613$	22.0443	+	22.0443i	0.890362	+	0.890362i	0.994557	−	0.104195i	$-0.0332265\pi$
$613$	22.0443	+	22.0443i	0.890362	+	0.890362i	−0.104195	+	0.994557i	$0.533227\pi$
$614$	4.96658	−	8.21572i	0.200435	−	0.331560i
$615$	0.531138	+	8.78076i	0.0214176	+	0.354075i
$616$	13.7685	+	48.7223i	0.554749	+	1.96308i
$617$	4.27570	−	23.3317i	0.172133	−	0.939300i	−0.778188	−	0.628031i	$-0.783861\pi$
$617$	4.27570	−	23.3317i	0.172133	−	0.939300i	0.950322	−	0.311270i	$-0.100754\pi$
$618$	6.48228	−	2.91744i	0.260756	−	0.117357i
$619$	−1.69558	−	13.9643i	−0.0681511	−	0.561274i	−0.986291	−	0.165017i	$-0.947232\pi$
$619$	−1.69558	−	13.9643i	−0.0681511	−	0.561274i	0.918140	−	0.396257i	$-0.129691\pi$
$620$	−3.12259	+	1.18424i	−0.125406	+	0.0475604i
$621$	−5.66706	+	10.7977i	−0.227411	+	0.433296i
$622$	18.2511	−	3.34463i	0.731801	−	0.134107i
$623$	−11.5081	−	16.6723i	−0.461061	−	0.667963i
$624$	0.108493	+	0.179470i	0.00434320	+	0.00718453i
$625$	−16.1211	−	3.97350i	−0.644844	−	0.158940i
$626$	3.86998	−	10.2043i	0.154675	−	0.407846i
$627$	−0.745420	+	0.0704003i	−0.0297692	+	0.00281152i
$628$	6.86114	+	8.75760i	0.273789	+	0.349466i
$629$	0.900567	+	1.71589i	0.0359079	+	0.0684169i
$630$	21.1307	+	18.7202i	0.841869	+	0.745831i
$631$	−0.505470	+	8.35641i	−0.0201224	+	0.332664i	0.974158	+	0.225866i	$0.0725212\pi$
$631$	−0.505470	+	8.35641i	−0.0201224	+	0.332664i	−0.994281	+	0.106797i	$0.965940\pi$
$632$	2.52883	−	3.66364i	0.100591	−	0.145732i
$633$	−3.63735	−	1.63704i	−0.144572	−	0.0650664i
$634$	−8.13265	+	26.0986i	−0.322989	+	1.03651i
$635$	25.4708			1.01078
$636$	2.83583	−	1.25394i	0.112448	−	0.0497220i
$637$		−	2.26208i		−	0.0896267i
$638$	−19.0676	−	25.7223i	−0.754893	−	1.01835i
$639$	31.1904	+	14.0377i	1.23387	+	0.555322i
$640$	3.80444	−	5.51169i	0.150384	−	0.217869i
$641$	−6.34086	−	0.383552i	−0.250449	−	0.0151494i	−0.0653230	−	0.997864i	$-0.520808\pi$
$641$	−6.34086	−	0.383552i	−0.250449	−	0.0151494i	−0.185126	+	0.982715i	$0.559269\pi$
$642$	6.12087	−	6.90904i	0.241572	−	0.272678i
$643$	0.398907	+	0.760055i	0.0157314	+	0.0299736i	0.893195	−	0.449670i	$-0.148458\pi$
$643$	0.398907	+	0.760055i	0.0157314	+	0.0299736i	−0.877463	+	0.479643i	$0.840766\pi$
$644$	−6.09064	−	7.77412i	−0.240005	−	0.306343i
$645$	1.73216	−	1.53456i	0.0682038	−	0.0604233i
$646$	−2.09289	−	0.793728i	−0.0823436	−	0.0312288i
$647$	6.70424	−	27.2002i	0.263571	−	1.06935i	−0.678678	−	0.734436i	$-0.737447\pi$
$647$	6.70424	−	27.2002i	0.263571	−	1.06935i	0.942249	−	0.334913i	$-0.108707\pi$
$648$	−13.1064	+	7.92310i	−0.514869	+	0.311249i
$649$	21.7808	+	0.580944i	0.854970	+	0.0228041i
$650$	0.197074	−	0.0361151i	0.00772988	−	0.00141655i
$651$	−4.44980	+	8.47838i	−0.174401	+	0.332294i
$652$	5.04713	+	13.3082i	0.197661	+	0.521189i
$653$	46.7717	−	5.67911i	1.83032	−	0.222241i	0.868453	−	0.495771i	$-0.165114\pi$
$653$	46.7717	−	5.67911i	1.83032	−	0.222241i	0.961863	+	0.273530i	$0.0881914\pi$
$654$	−3.22262	+	1.45039i	−0.126015	+	0.0567145i
$655$	−1.57882	+	8.61536i	−0.0616897	+	0.336630i
$656$	−9.78935	+	12.4952i	−0.382210	+	0.487855i
$657$	0.984849	−	0.0595724i	0.0384226	−	0.00232414i
$658$	8.28483	+	5.00835i	0.322976	+	0.195246i
$659$	18.2979	−	18.2979i	0.712786	−	0.712786i	−0.254332	−	0.967117i	$-0.581855\pi$
$659$	18.2979	−	18.2979i	0.712786	−	0.712786i	0.967117	+	0.254332i	$0.0818554\pi$
$660$	−1.02715	+	2.50480i	−0.0399816	+	0.0974994i
$661$	38.7758	+	4.70824i	1.50820	+	0.183129i	0.832492	−	0.554037i	$-0.186913\pi$
$661$	38.7758	+	4.70824i	1.50820	+	0.183129i	0.675712	+	0.737166i	$0.263836\pi$
$662$	5.10862	+	16.3941i	0.198552	+	0.637177i
$663$	−0.152276	−	0.488672i	−0.00591392	−	0.0189784i
$664$	1.07938	−	8.88947i	0.0418880	−	0.344978i
$665$	−0.747624	−	3.03323i	−0.0289916	−	0.117624i
$666$	0.701908	+	0.701908i	0.0271984	+	0.0271984i
$667$	22.5851	+	13.6531i	0.874497	+	0.528652i
$668$	−0.760460	−	12.5719i	−0.0294231	−	0.486421i
$669$	−2.71915	+	3.47074i	−0.105129	+	0.134187i
$670$	8.72181	+	1.59833i	0.336953	+	0.0617489i
$671$	−4.43565	+	21.0260i	−0.171236	+	0.811699i
$672$	1.38195	+	11.3814i	0.0533100	+	0.439048i
$673$	13.9576	+	36.8032i	0.538027	+	1.41866i	0.878198	+	0.478296i	$0.158746\pi$
$673$	13.9576	+	36.8032i	0.538027	+	1.41866i	−0.340172	+	0.940363i	$0.610485\pi$
$674$	−0.170913	+	0.325648i	−0.00658333	+	0.0125435i
$675$	−0.908367	−	4.95680i	−0.0349630	−	0.190787i
$676$	6.62525	−	4.57308i	0.254817	−	0.175888i
$677$	−24.0165	−	39.7281i	−0.923029	−	1.52688i	−0.848197	−	0.529681i	$-0.822312\pi$
$677$	−24.0165	−	39.7281i	−0.923029	−	1.52688i	−0.0748319	−	0.997196i	$-0.523842\pi$
$678$	−3.48573	+	14.1421i	−0.133868	+	0.543126i
$679$	−3.58333	+	9.44846i	−0.137515	+	0.362598i
$680$	−25.5981	+	22.6780i	−0.981643	+	0.869660i
$681$	4.14193	−	3.24500i	0.158719	−	0.124348i
$682$	−10.8307	−	1.60918i	−0.414731	−	0.0616188i
$683$	−18.3646	−	16.2696i	−0.702701	−	0.622539i	0.234177	−	0.972194i	$-0.424760\pi$
$683$	−18.3646	−	16.2696i	−0.702701	−	0.622539i	−0.936879	+	0.349655i	$0.886299\pi$
$684$	0.514234	+	0.0311054i	0.0196622	+	0.00118935i
$685$	14.0493	−	20.3539i	0.536796	−	0.777683i
$686$	−25.3492	+	56.3235i	−0.967836	+	2.15044i
$687$	−6.62338	−	2.06393i	−0.252698	−	0.0787438i
$688$	4.17572			0.159198
$689$	−0.429361	−	0.831321i	−0.0163574	−	0.0316708i
$690$			4.96619i			0.189060i
$691$	−10.6669	+	34.2314i	−0.405790	+	1.30222i	0.495349	+	0.868694i	$0.335040\pi$
$691$	−10.6669	+	34.2314i	−0.405790	+	1.30222i	−0.901139	+	0.433531i	$0.857268\pi$
$692$	5.37752	−	11.9484i	0.204423	−	0.454208i
$693$	−13.7054	−	39.2653i	−0.520626	−	1.49157i
$694$	28.7941	+	1.74172i	1.09301	+	0.0661149i
$695$	−32.8376	−	29.0916i	−1.24560	−	1.10351i
$696$	−8.07447	−	15.3846i	−0.306062	−	0.583152i
$697$	30.4969	−	23.8928i	1.15515	−	0.905003i
$698$	1.14379	+	1.29107i	0.0432929	+	0.0488676i
$699$	0.359617	+	0.136385i	0.0136020	+	0.00515855i
$700$	3.96259	+	0.976690i	0.149772	+	0.0369154i
$701$	−35.7159	+	21.5910i	−1.34897	+	0.815481i	−0.992897	−	0.118978i	$-0.962038\pi$
$701$	−35.7159	+	21.5910i	−1.34897	+	0.815481i	−0.356073	+	0.934458i	$0.615885\pi$
$702$	−0.325679	−	0.471827i	−0.0122920	−	0.0178080i
$703$	−0.0198006	−	0.108048i	−0.000746793	−	0.00407512i
$704$	−25.9098	+	12.7293i	−0.976514	+	0.479752i
$705$	0.775652	+	2.04523i	0.0292127	+	0.0770277i
$706$	1.40232	+	11.5492i	0.0527772	+	0.434659i
$707$	−8.26675	+	3.72056i	−0.310903	+	0.139926i
$708$	2.75220	+	0.504360i	0.103434	+	0.0189550i
$709$	−31.2540	−	24.4859i	−1.17377	−	0.919589i	−0.175872	−	0.984413i	$-0.556274\pi$
$709$	−31.2540	−	24.4859i	−1.17377	−	0.919589i	−0.997897	+	0.0648243i	$0.979351\pi$
$710$	30.4031	−	1.83905i	1.14101	−	0.0690183i
$711$	−1.89172	+	3.12929i	−0.0709452	+	0.117358i
$712$	8.88909	−	8.88909i	0.333133	−	0.333133i
$713$	8.76284	−	2.15985i	0.328171	−	0.0808869i
$714$	−2.79699	+	23.0353i	−0.104675	+	0.862073i
$715$	0.773173	+	0.263745i	0.0289150	+	0.00986350i
$716$	2.61779	+	8.40077i	0.0978312	+	0.313951i
$717$	−1.70604	−	0.207151i	−0.0637134	−	0.00773621i
$718$	−9.72507	−	39.4562i	−0.362937	−	1.47249i
$719$	0.263841	−	0.263841i	0.00983961	−	0.00983961i	−0.702170	−	0.712009i	$-0.747785\pi$
$719$	0.263841	−	0.263841i	0.00983961	−	0.00983961i	0.712009	+	0.702170i	$0.247785\pi$
$720$	−5.95434	+	9.84968i	−0.221905	+	0.367076i
$721$	−2.63816	−	43.6141i	−0.0982504	−	1.62427i
$722$	−17.4698	−	13.6867i	−0.650157	−	0.509366i
$723$	−12.3228	−	2.25824i	−0.458291	−	0.0839849i
$724$	−3.69185	−	8.20296i	−0.137207	−	0.304860i
$725$	−10.8266	+	1.31458i	−0.402088	+	0.0488224i
$726$	−6.94826	+	5.52348i	−0.257874	+	0.204996i
$727$	21.5356	−	41.0326i	0.798711	−	1.52182i	−0.0534705	−	0.998569i	$-0.517028\pi$
$727$	21.5356	−	41.0326i	0.798711	−	1.52182i	0.852181	−	0.523247i	$-0.175279\pi$
$728$	1.92983	−	0.353654i	0.0715243	−	0.0131073i
$729$	3.91304	−	2.70098i	0.144927	−	0.100036i
$730$	0.751904	−	0.454542i	0.0278292	−	0.0168233i
$731$	−9.89549	−	2.43902i	−0.365998	−	0.0902104i
$732$	−0.978546	+	2.58021i	−0.0361681	+	0.0953675i
$733$	0.0438435	+	0.0494891i	0.00161940	+	0.00182792i	0.749320	−	0.662208i	$-0.230381\pi$
$733$	0.0438435	+	0.0494891i	0.00161940	+	0.00182792i	−0.747700	+	0.664036i	$0.768842\pi$
$734$	6.64977	−	5.20976i	0.245447	−	0.192296i
$735$	−20.5166	+	10.7680i	−0.756767	+	0.397182i
$736$	7.16596	−	8.08870i	0.264141	−	0.298153i
$737$	−10.0644	−	8.32737i	−0.370725	−	0.306743i
$738$	11.2733	−	16.3322i	0.414976	−	0.601196i
$739$	−29.9743	−	13.4903i	−1.10262	−	0.496250i	−0.224398	−	0.974498i	$-0.572042\pi$
$739$	−29.9743	−	13.4903i	−1.10262	−	0.496250i	−0.878225	+	0.478247i	$0.841272\pi$
$740$	−0.379194	−	0.118162i	−0.0139395	−	0.00434371i
$741$			0.0290141i			0.00106586i
$742$	2.28258	+	42.3560i	0.0837962	+	1.55494i
$743$			30.7105i			1.12666i	0.826232	+	0.563329i	$0.190480\pi$
$743$			30.7105i			1.12666i	−0.826232	+	0.563329i	$0.809520\pi$
$744$	−5.67269	−	1.76768i	−0.207971	−	0.0648064i
$745$	5.41589	−	12.0336i	0.198423	−	0.440878i
$746$	9.27438	+	6.40164i	0.339559	+	0.234381i
$747$	−0.444118	+	7.34214i	−0.0162494	+	0.268635i
$748$	11.6483	−	2.54364i	0.425904	−	0.0930047i
$749$	−26.3665	−	50.2372i	−0.963411	−	1.83563i
$750$	−6.03436	−	7.70229i	−0.220344	−	0.281248i
$751$	27.0243	+	30.5042i	0.986132	+	1.11311i	0.993579	+	0.113141i	$0.0360912\pi$
$751$	27.0243	+	30.5042i	0.986132	+	1.11311i	−0.00744653	+	0.999972i	$0.502370\pi$
$752$	−1.39961	+	3.69048i	−0.0510386	+	0.134578i
$753$	2.84310	−	11.5349i	0.103608	−	0.420356i
$754$	−1.06182	+	0.641890i	−0.0386690	+	0.0233763i
$755$	−31.7032	+	21.8831i	−1.15380	+	0.796409i
$756$	−2.10505	−	11.4869i	−0.0765600	−	0.417774i
$757$	−35.3437	−	18.5498i	−1.28459	−	0.674203i	−0.322403	−	0.946603i	$-0.604490\pi$
$757$	−35.3437	−	18.5498i	−1.28459	−	0.674203i	−0.962184	+	0.272399i	$0.912183\pi$
$758$	−2.13634	+	0.810208i	−0.0775955	+	0.0294281i
$759$	3.57148	−	6.38513i	0.129636	−	0.231766i
$760$	1.76777	−	0.795610i	0.0641238	−	0.0288598i
$761$	−8.89586	+	48.5432i	−0.322475	+	1.75969i	0.278515	+	0.960432i	$0.410158\pi$
$761$	−8.89586	+	48.5432i	−0.322475	+	1.75969i	−0.600990	+	0.799256i	$0.705227\pi$
$762$	8.44202	+	6.61390i	0.305822	+	0.239596i
$763$	1.31155	+	21.6824i	0.0474812	+	0.784957i
$764$	10.0831	+	6.09547i	0.364795	+	0.220526i
$765$	19.8636	−	19.8636i	0.718168	−	0.718168i
$766$	−6.20137	−	25.1600i	−0.224065	−	0.909066i
$767$	0.101772	−	0.838166i	0.00367477	−	0.0302644i
$768$	−8.72419	+	2.71857i	−0.314807	+	0.0980978i
$769$	30.8630	−	9.61731i	1.11295	−	0.346809i	0.314733	−	0.949180i	$-0.398085\pi$
$769$	30.8630	−	9.61731i	1.11295	−	0.346809i	0.798216	+	0.602371i	$0.205777\pi$
$770$	−27.0563	−	25.2890i	−0.975041	−	0.911353i
$771$	2.37562	+	9.63825i	0.0855557	+	0.347113i
$772$	1.64076	+	1.64076i	0.0590522	+	0.0590522i
$773$	−2.49419	+	4.12590i	−0.0897099	+	0.148398i	−0.897413	−	0.441190i	$-0.854556\pi$
$773$	−2.49419	+	4.12590i	−0.0897099	+	0.148398i	0.807704	+	0.589589i	$0.200710\pi$
$774$	−5.21105	+	0.315210i	−0.187307	+	0.0113300i
$775$	−2.30011	+	2.93588i	−0.0826225	+	0.105460i
$776$	−6.16788	−	1.13031i	−0.221414	−	0.0405756i
$777$	−1.03844	+	0.467365i	−0.0372539	+	0.0167666i
$778$	−2.22921	+	0.270675i	−0.0799209	+	0.00970416i
$779$	−2.05337	+	0.778741i	−0.0735696	+	0.0279013i
$780$	0.0928906	+	0.0487527i	0.00332602	+	0.00174563i
$781$	−40.4125	−	19.5002i	−1.44607	−	0.697771i
$782$	17.9998	−	12.4244i	0.643673	−	0.444295i
$783$	16.1448	+	26.7067i	0.576968	+	0.954421i
$784$	−40.5951	−	10.0058i	−1.44982	−	0.357350i
$785$	−32.1526	−	12.1939i	−1.14757	−	0.435217i
$786$	−2.76040	+	2.44550i	−0.0984604	+	0.0872283i
$787$	24.0247	−	18.8221i	0.856387	−	0.670936i	−0.0893039	−	0.996004i	$-0.528464\pi$
$787$	24.0247	−	18.8221i	0.856387	−	0.670936i	0.945691	+	0.325068i	$0.105387\pi$
$788$	−6.42173	−	12.2356i	−0.228765	−	0.435874i
$789$	−1.34982	+	1.52363i	−0.0480548	+	0.0542426i
$790$	−0.196609	+	3.25033i	−0.00699502	+	0.115642i
$791$	73.6805	+	50.8579i	2.61978	+	1.80830i
$792$	22.4334	−	12.7574i	0.797137	−	0.453315i
$793$	0.795002	+	0.247733i	0.0282314	+	0.00879724i
$794$	29.0992			1.03269
$795$	−5.49608	+	7.85149i	−0.194926	+	0.278464i
$796$	13.7989			0.489089
$797$	4.39978	−	14.1194i	0.155848	−	0.500134i	−0.843465	−	0.537184i	$-0.819488\pi$
$797$	4.39978	−	14.1194i	0.155848	−	0.500134i	0.999313	+	0.0370494i	$0.0117959\pi$
$798$	0.539835	−	1.19946i	0.0191100	−	0.0424606i
$799$	5.47235	−	7.92807i	0.193598	−	0.280475i
$800$	−0.269633	+	4.45756i	−0.00953297	+	0.157599i
$801$	−6.84743	+	7.72915i	−0.241942	+	0.273096i
$802$	26.1312	−	13.7147i	0.922724	−	0.484283i
$803$	−1.29363	+	0.0436754i	−0.0456511	+	0.00154127i
$804$	−1.11238	−	1.25562i	−0.0392308	−	0.0442824i
$805$	28.5418	+	10.8245i	1.00597	+	0.381513i
$806$	−0.101543	+	0.411977i	−0.00357671	+	0.0145113i
$807$	−6.57611	−	10.8782i	−0.231490	−	0.382931i
$808$	−3.19560	−	4.62963i	−0.112421	−	0.162870i
$809$	−5.46067	−	29.7979i	−0.191987	−	1.04764i	−0.928533	−	0.371251i	$-0.878929\pi$
$809$	−5.46067	−	29.7979i	−0.191987	−	1.04764i	0.736546	−	0.676388i	$-0.236456\pi$
$810$	5.20612	−	9.91943i	0.182924	−	0.348533i
$811$	34.9567	−	13.2573i	1.22750	−	0.465528i	0.346230	−	0.938150i	$-0.387462\pi$
$811$	34.9567	−	13.2573i	1.22750	−	0.465528i	0.881265	+	0.472622i	$0.156692\pi$
$812$	−25.0895	+	3.04642i	−0.880469	+	0.106908i
$813$	0.812962	+	1.80633i	0.0285118	+	0.0633507i
$814$	−0.895939	−	0.945042i	−0.0314026	−	0.0331237i
$815$	−34.6308	−	27.1315i	−1.21306	−	0.950375i
$816$	−9.44323	+	0.571210i	−0.330579	+	0.0199964i
$817$	0.494397	+	0.298873i	0.0172968	+	0.0104563i
$818$	14.9083	+	14.9083i	0.521256	+	0.521256i
$819$	−1.56476	+	0.385678i	−0.0546770	+	0.0134767i
$820$	−0.957111	+	7.88252i	−0.0334238	+	0.275270i
$821$	−0.565870	−	1.81594i	−0.0197490	−	0.0633768i	0.944320	−	0.329028i	$-0.106721\pi$
$821$	−0.565870	−	1.81594i	−0.0197490	−	0.0633768i	−0.964069	+	0.265651i	$0.914413\pi$
$822$	9.94172	−	3.09796i	0.346757	−	0.108054i
$823$	4.18849	−	34.4953i	0.146002	−	1.20243i	−0.716943	−	0.697132i	$-0.754459\pi$
$823$	4.18849	−	34.4953i	0.146002	−	1.20243i	0.862944	−	0.505299i	$-0.168618\pi$
$824$	26.3257	−	6.48870i	0.917099	−	0.226045i
$825$	0.465492	+	2.98731i	0.0162063	+	0.104005i
$826$	−19.8022	+	32.7568i	−0.689006	+	1.13975i
$827$	0.306988	+	5.07512i	0.0106750	+	0.176479i	0.999605	+	0.0280975i	$0.00894488\pi$
$827$	0.306988	+	5.07512i	0.0106750	+	0.176479i	−0.988930	+	0.148382i	$0.952594\pi$
$828$	−3.10450	+	3.96260i	−0.107889	+	0.137710i
$829$	−3.67162	+	20.0354i	−0.127521	+	0.695858i	0.856269	+	0.516531i	$0.172777\pi$
$829$	−3.67162	+	20.0354i	−0.127521	+	0.695858i	−0.983789	+	0.179328i	$0.942608\pi$
$830$	2.68828	+	5.97310i	0.0933114	+	0.207329i
$831$	−4.06157	+	0.493164i	−0.140894	+	0.0171077i
$832$	0.396679	+	1.04596i	0.0137524	+	0.0362621i
$833$	90.3566	+	47.4228i	3.13067	+	1.64310i
$834$	−3.32958	−	18.1689i	−0.115294	−	0.629138i
$835$	22.1146	+	32.0385i	0.765306	+	1.10874i
$836$	−0.673284	−	0.0587791i	−0.0232860	−	0.00203292i
$837$	10.3620	+	2.55401i	0.358164	+	0.0882795i
$838$	13.6825	−	36.0778i	0.472654	−	1.24629i
$839$	−23.5164	+	20.8337i	−0.811876	+	0.719260i	−0.963072	−	0.269244i	$-0.913226\pi$
$839$	−23.5164	+	20.8337i	−0.811876	+	0.719260i	0.151195	+	0.988504i	$0.451688\pi$
$840$	−12.3940	−	15.8197i	−0.427633	−	0.545833i
$841$	34.1244	−	17.9098i	1.17670	−	0.617581i
$842$	16.6577	−	18.8026i	0.574061	−	0.647981i
$843$	2.00522	+	0.121293i	0.0690634	+	0.00417757i
$844$	−2.96310	−	2.04528i	−0.101994	−	0.0704016i
$845$	−10.2122	+	22.6905i	−0.351310	+	0.780579i
$846$	1.46805	−	4.71114i	0.0504726	−	0.161972i
$847$	16.6000	+	51.9724i	0.570383	+	1.78579i
$848$	−16.8180	+	4.02813i	−0.577533	+	0.138326i
$849$			5.05629i			0.173531i
$850$	−2.68893	+	8.62907i	−0.0922295	+	0.295975i
$851$	0.978787	+	0.440516i	0.0335524	+	0.0151007i
$852$	−4.74225	−	3.27334i	−0.162467	−	0.112143i
$853$	0.347172	−	5.73944i	0.0118869	−	0.196515i	−0.987384	−	0.158343i	$-0.949385\pi$
$853$	0.347172	−	5.73944i	0.0118869	−	0.196515i	0.999271	−	0.0381721i	$-0.0121535\pi$
$854$	−28.2566	−	25.0332i	−0.966922	−	0.856618i
$855$	−1.40996	+	0.740006i	−0.0482197	+	0.0253077i
$856$	27.7141	−	21.7126i	0.947250	−	0.742123i
$857$	22.7583	−	20.1621i	0.777408	−	0.688723i	−0.177994	−	0.984032i	$-0.556961\pi$
$857$	22.7583	−	20.1621i	0.777408	−	0.688723i	0.955402	+	0.295308i	$0.0954224\pi$
$858$	0.187775	+	0.288183i	0.00641052	+	0.00983839i
$859$	−8.38608	+	34.0237i	−0.286129	+	1.16087i	0.635281	+	0.772281i	$0.280884\pi$
$859$	−8.38608	+	34.0237i	−0.286129	+	1.16087i	−0.921410	+	0.388592i	$0.872962\pi$
$860$	1.78760	−	1.08064i	0.0609567	−	0.0368496i
$861$	12.9327	+	18.7363i	0.440747	+	0.638532i
$862$	44.8767	−	8.22396i	1.52851	−	0.280109i
$863$	−24.2682	−	12.7369i	−0.826099	−	0.433570i	−0.00198766	−	0.999998i	$-0.500633\pi$
$863$	−24.2682	−	12.7369i	−0.826099	−	0.433570i	−0.824111	+	0.566428i	$0.808325\pi$
$864$	11.9481	−	4.53132i	0.406483	−	0.154159i
$865$	4.88166	+	40.2040i	0.165981	+	1.36698i
$866$	−14.1351	−	31.4068i	−0.480329	−	1.06725i
$867$	11.2257	+	2.05718i	0.381244	+	0.0698655i
$868$	−5.33029	+	6.80361i	−0.180922	+	0.230930i
$869$	2.59029	−	4.03762i	0.0878694	−	0.136967i
$870$	10.8763	+	6.57495i	0.368741	+	0.222912i
$871$	−0.357933	+	0.357933i	−0.0121281	+	0.0121281i
$872$	−13.0877	+	3.22582i	−0.443204	+	0.109240i
$873$	5.11320	+	0.620855i	0.173056	+	0.0210127i
$874$	−1.18365	+	0.368840i	−0.0400375	+	0.0124762i
$875$	−57.4195	+	17.8926i	−1.94113	+	0.604881i
$876$	−0.165007	−	0.0200355i	−0.00557508	−	0.000676937i
$877$	33.5060	−	8.25849i	1.13142	−	0.278869i	0.371210	−	0.928549i	$-0.378943\pi$
$877$	33.5060	−	8.25849i	1.13142	−	0.278869i	0.760208	+	0.649680i	$0.225097\pi$
$878$	−11.9022	+	11.9022i	−0.401680	+	0.401680i
$879$	−13.5478	−	8.18991i	−0.456955	−	0.276239i
$880$	8.15311	−	12.7087i	0.274841	−	0.428410i
$881$	23.6597	−	30.1994i	0.797115	−	1.01744i	−0.202159	−	0.979353i	$-0.564796\pi$
$881$	23.6597	−	30.1994i	0.797115	−	1.01744i	0.999274	−	0.0380895i	$-0.0121272\pi$
$882$	51.4155	+	9.42224i	1.73125	+	0.317263i
$883$	−6.05424	−	13.4520i	−0.203741	−	0.452695i	0.781491	−	0.623916i	$-0.214459\pi$
$883$	−6.05424	−	13.4520i	−0.203741	−	0.452695i	−0.985233	+	0.171221i	$0.945229\pi$
$884$	−0.0556901	−	0.458649i	−0.00187306	−	0.0154260i
$885$	−8.08647	+	3.06679i	−0.271824	+	0.103089i
$886$	−16.4403	−	8.62853i	−0.552322	−	0.289881i
$887$	44.5524	−	8.16453i	1.49592	−	0.274138i	0.630898	−	0.775866i	$-0.282687\pi$
$887$	44.5524	−	8.16453i	1.49592	−	0.274138i	0.865026	+	0.501728i	$0.167302\pi$
$888$	−0.401421	−	0.581559i	−0.0134708	−	0.0195158i
$889$	56.4121	−	34.1023i	1.89200	−	1.14375i
$890$	−2.20060	+	8.92820i	−0.0737644	+	0.299274i
$891$	−13.8273	+	9.00959i	−0.463231	+	0.301833i
$892$	−2.97894	+	2.63911i	−0.0997425	+	0.0883641i
$893$	−0.429854	+	0.336769i	−0.0143845	+	0.0112695i
$894$	4.91977	−	2.58209i	0.164542	−	0.0863581i
$895$	−20.3577	−	18.0353i	−0.680481	−	0.602854i
$896$	1.04651	−	17.3008i	0.0349614	−	0.577981i
$897$	−0.233320	−	0.161049i	−0.00779032	−	0.00537727i
$898$	−27.2792	−	12.2774i	−0.910319	−	0.409701i
$899$	6.87128	−	22.0507i	0.229170	−	0.735433i
$900$		−	2.08025i		−	0.0693415i
$901$	42.2076	+	0.277602i	1.40614	+	0.00924828i
$902$	−15.3552	+	21.0239i	−0.511272	+	0.700019i
$903$	1.78176	−	5.71787i	0.0592932	−	0.190279i
$904$	−22.8007	+	50.6612i	−0.758342	+	1.68497i
$905$	22.8824	+	15.7946i	0.760637	+	0.525030i
$906$	−16.1900	−	0.979315i	−0.537877	−	0.0325356i
$907$	−12.3887	+	13.9839i	−0.411359	+	0.464328i	−0.917275	−	0.398255i	$-0.869616\pi$
$907$	−12.3887	+	13.9839i	−0.411359	+	0.464328i	0.505916	+	0.862583i	$0.331154\pi$
$908$	4.20544	−	2.20719i	0.139562	−	0.0732480i
$909$	2.84973	+	3.63741i	0.0945196	+	0.120645i
$910$	−1.07421	+	0.951666i	−0.0356097	+	0.0315474i
$911$	−0.380013	+	1.00201i	−0.0125904	+	0.0331981i	−0.941164	−	0.337950i	$-0.890267\pi$
$911$	−0.380013	+	1.00201i	−0.0125904	+	0.0331981i	0.928574	+	0.371148i	$0.121036\pi$
$912$	0.520686	+	0.128338i	0.0172416	+	0.00424968i
$913$	0.839238	−	9.61304i	0.0277747	−	0.318145i
$914$	−0.194308	−	0.281504i	−0.00642713	−	0.00931131i
$915$	−1.53749	−	8.38979i	−0.0508277	−	0.277358i
$916$	−5.54483	−	2.91015i	−0.183206	−	0.0961541i
$917$	8.03819	+	21.1950i	0.265444	+	0.699919i
$918$	25.6743	−	3.11743i	0.847379	−	0.102890i
$919$	−17.8572	−	39.6771i	−0.589056	−	1.30883i	−0.929590	−	0.368596i	$-0.879839\pi$
$919$	−17.8572	−	39.6771i	−0.589056	−	1.30883i	0.340534	−	0.940232i	$-0.389392\pi$
$920$	−3.41442	+	18.6319i	−0.112570	+	0.614275i
$921$	3.46209	−	4.41904i	0.114080	−	0.145612i
$922$	−0.133610	−	2.20883i	−0.00440021	−	0.0727441i
$923$	−0.899544	+	1.48803i	−0.0296088	+	0.0489790i
$924$	1.07873	+	6.92281i	0.0354877	+	0.227744i
$925$	−0.430670	+	0.106151i	−0.0141603	+	0.00349021i
$926$	0.824608	−	6.79126i	0.0270983	−	0.223175i
$927$	−21.2630	+	6.62582i	−0.698369	+	0.217621i
$928$	−8.22747	−	26.4029i	−0.270080	−	0.866717i
$929$	0.0476944	−	0.392798i	0.00156480	−	0.0128873i	−0.991906	−	0.126978i	$-0.959472\pi$
$929$	0.0476944	−	0.392798i	0.00156480	−	0.0128873i	0.993470	+	0.114090i	$0.0363954\pi$
$930$	4.21993	−	1.04012i	0.138377	−	0.0341068i
$931$	−4.09022	−	4.09022i	−0.134052	−	0.134052i
$932$	0.297099	+	0.179603i	0.00973182	+	0.00588309i
$933$	10.8302	−	0.655106i	0.354565	−	0.0214472i
$934$	29.8916	+	23.4186i	0.978083	+	0.766279i
$935$	−26.7441	+	25.3545i	−0.874625	+	0.829181i
$936$	−0.410432	−	0.911943i	−0.0134154	−	0.0298078i
$937$	−58.8859	+	7.15004i	−1.92372	+	0.233582i	−0.991675	−	0.128767i	$-0.958898\pi$
$937$	−58.8859	+	7.15004i	−1.92372	+	0.233582i	−0.932042	+	0.362349i	$0.881975\pi$
$938$	21.4568	−	8.13751i	0.700591	−	0.265699i
$939$	2.96570	−	5.65066i	0.0967819	−	0.184402i
$940$	0.355899	+	1.94208i	0.0116082	+	0.0633437i
$941$	−12.0474	−	17.4537i	−0.392735	−	0.568975i	0.575882	−	0.817533i	$-0.304659\pi$
$941$	−12.0474	−	17.4537i	−0.392735	−	0.568975i	−0.968617	+	0.248558i	$0.920043\pi$
$942$	−7.49030	−	12.3905i	−0.244047	−	0.403703i
$943$	5.13535	−	20.8349i	0.167230	−	0.678479i
$944$	−14.5915	−	5.53383i	−0.474913	−	0.180111i
$945$	23.9363	+	27.0184i	0.778646	+	0.878910i
$946$	6.84485	−	0.231096i	0.222545	−	0.00751358i
$947$	−22.5300	+	11.8246i	−0.732125	+	0.384249i	−0.789213	−	0.614120i	$-0.789511\pi$
$947$	−22.5300	+	11.8246i	−0.732125	+	0.384249i	0.0570872	+	0.998369i	$0.481819\pi$
$948$	0.408504	−	0.461105i	0.0132676	−	0.0149760i
$949$	−0.00302844	+	0.0500660i	−9.83072e−5	+	0.00162521i
$950$	0.291041	−	0.421646i	0.00944262	−	0.0136800i
$951$	−6.56040	+	14.5766i	−0.212736	+	0.472679i
$952$	−26.3311	+	84.4994i	−0.853396	+	2.73864i
$953$	4.27324			0.138424			0.0692119	−	0.997602i	$-0.477952\pi$
$953$	4.27324			0.138424			0.0692119	+	0.997602i	$0.477952\pi$
$954$	20.6838	−	6.29639i	0.669663	−	0.203853i
$955$	−36.4183			−1.17847
$956$	−1.48103	−	0.461506i	−0.0478998	−	0.0149262i
$957$	−9.25544	−	16.2753i	−0.299186	−	0.526107i
$958$	−15.6014	−	10.7689i	−0.504060	−	0.347927i
$959$	3.86462	−	63.8897i	0.124795	−	2.06311i
$960$	7.59837	−	8.57679i	0.245236	−	0.276815i
$961$	10.7358	+	20.4554i	0.346317	+	0.659853i
$962$	−0.0397233	+	0.0311212i	−0.00128073	+	0.00100339i
$963$	−21.6464	+	19.1770i	−0.697545	+	0.617971i
$964$	−10.5735	−	4.01001i	−0.340550	−	0.129154i
$965$	−6.96370	−	1.71640i	−0.224169	−	0.0552528i
$966$	6.64913	+	10.9990i	0.213932	+	0.353887i
$967$	−37.8105	+	26.0987i	−1.21591	+	0.839279i	−0.990837	−	0.135064i	$-0.956876\pi$
$967$	−37.8105	+	26.0987i	−1.21591	+	0.839279i	−0.225068	+	0.974343i	$0.572261\pi$
$968$	−29.8657	+	15.9455i	−0.959919	+	0.512509i
$969$	−1.15894	−	0.608261i	−0.0372306	−	0.0195401i
$970$	4.28871	−	1.62649i	0.137702	−	0.0522236i
$971$	52.2809	−	6.34805i	1.67777	−	0.203719i	0.774437	−	0.632651i	$-0.218033\pi$
$971$	52.2809	−	6.34805i	1.67777	−	0.203719i	0.903336	+	0.428933i	$0.141110\pi$
$972$	−8.37387	+	3.76877i	−0.268592	+	0.120883i
$973$	−111.678	−	20.4658i	−3.58023	−	0.656102i
$974$	2.38620	−	3.04576i	0.0764587	−	0.0975923i
$975$	0.116944	−	0.00707380i	0.00374520	−	0.000226543i
$976$	7.96231	−	13.1713i	0.254867	−	0.421602i
$977$	34.7824	+	34.7824i	1.11279	+	1.11279i	0.992772	+	0.120014i	$0.0382940\pi$
$977$	34.7824	+	34.7824i	1.11279	+	1.11279i	0.120014	+	0.992772i	$0.461706\pi$
$978$	−4.43288	−	17.9849i	−0.141748	−	0.575094i
$979$	9.25016	−	9.89659i	0.295636	−	0.316296i
$980$	−19.9679	+	6.22226i	−0.637852	+	0.198763i
$981$	10.5708	−	3.29399i	0.337499	−	0.105169i
$982$	5.60198	−	46.1365i	0.178767	−	1.47227i
$983$	−12.9019	−	52.3451i	−0.411507	−	1.66955i	−0.701617	−	0.712555i	$-0.747538\pi$
$983$	−12.9019	−	52.3451i	−0.411507	−	1.66955i	0.290110	−	0.956993i	$-0.406308\pi$
$984$	−9.98953	+	9.98953i	−0.318454	+	0.318454i
$985$	36.5517	+	22.0963i	1.16463	+	0.704045i
$986$	−3.37952	−	55.8700i	−0.107626	−	1.77926i
$987$	4.45621	+	3.49122i	0.141843	+	0.111127i
$988$	−0.00472079	+	0.0257605i	−0.000150188	+	0.000819552i
$989$	−5.14767	+	2.31678i	−0.163686	+	0.0736693i
$990$	−9.21525	+	16.4751i	−0.292880	+	0.523614i
$991$	32.5078	−	12.3286i	1.03264	−	0.391630i	0.220685	−	0.975345i	$-0.429171\pi$
$991$	32.5078	−	12.3286i	1.03264	−	0.391630i	0.811959	+	0.583715i	$0.198401\pi$
$992$	−8.37405	−	4.39504i	−0.265876	−	0.139543i
$993$	1.80996	+	9.87662i	0.0574373	+	0.313425i
$994$	64.8739	−	44.7792i	2.05768	−	1.42031i
$995$	−36.5001	+	22.0651i	−1.15713	+	0.699511i
$996$	0.296555	−	1.20317i	0.00939671	−	0.0381240i
$997$	−0.106926	+	0.281941i	−0.00338638	+	0.00892916i	−0.936699	−	0.350136i	$-0.886135\pi$
$997$	−0.106926	+	0.281941i	−0.00338638	+	0.00892916i	0.933312	+	0.359065i	$0.116905\pi$
$998$	20.9620	+	23.6612i	0.663540	+	0.748982i
$999$	0.782759	+	0.999118i	0.0247654	+	0.0316107i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	583.2.q.b.21.17	✓	1200
11.10	odd	2	inner	583.2.q.b.21.34	yes	1200
53.48	odd	52	inner	583.2.q.b.472.34	yes	1200
583.472	even	52	inner	583.2.q.b.472.17	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
583.2.q.b.21.17	✓	1200	1.1	even	1	trivial
583.2.q.b.21.34	yes	1200	11.10	odd	2	inner
583.2.q.b.472.17	yes	1200	583.472	even	52	inner
583.2.q.b.472.34	yes	1200	53.48	odd	52	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 583 = 11 \cdot 53 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	583.q (of order \(52\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.12153 - 0.349482i) q^{2} +(-0.626396 - 0.281918i) q^{3} +(-0.510283 - 0.352223i) q^{4} +(1.91299 + 0.115715i) q^{5} +(0.603995 + 0.535093i) q^{6} +(4.39178 - 2.30499i) q^{7} +(1.89814 + 2.42280i) q^{8} +(-1.67647 - 1.89235i) q^{9} +(-2.10503 - 0.798334i) q^{10} +(2.13236 + 2.54029i) q^{11} +(0.220341 + 0.364489i) q^{12} +(0.105771 - 0.0730087i) q^{13} +(-5.73105 + 1.05025i) q^{14} +(-1.16567 - 0.611791i) q^{15} +(-0.842354 - 2.22110i) q^{16} +(0.698846 + 5.75552i) q^{17} +(1.21887 + 2.70822i) q^{18} +(0.0592405 - 0.323265i) q^{19} +(-0.935411 - 0.732847i) q^{20} +(-3.40081 + 0.205711i) q^{21} +(-1.50371 - 3.59422i) q^{22} +(2.27074 + 2.27074i) q^{23} +(-0.505958 - 2.05275i) q^{24} +(-1.31739 - 0.159960i) q^{25} +(-0.144141 + 0.0449160i) q^{26} +(1.12973 + 3.62542i) q^{27} +(-3.05292 - 0.370692i) q^{28} +(7.97939 - 1.96674i) q^{29} +(1.09352 + 1.09352i) q^{30} +(1.45393 - 2.40510i) q^{31} +(-0.203180 - 3.35897i) q^{32} +(-0.619547 - 2.19238i) q^{33} +(1.22767 - 6.69920i) q^{34} +(8.66818 - 3.90123i) q^{35} +(0.188948 + 1.55612i) q^{36} +(0.312520 - 0.118523i) q^{37} +(-0.179415 + 0.341847i) q^{38} +(-0.0868372 + 0.0159135i) q^{39} +(3.35078 + 4.85444i) q^{40} +(-3.45693 - 5.71847i) q^{41} +(3.88600 + 0.957812i) q^{42} +(-0.623342 + 1.64362i) q^{43} +(-0.193358 - 2.04733i) q^{44} +(-2.98811 - 3.81404i) q^{45} +(-1.75311 - 3.34027i) q^{46} +(-1.24369 - 1.10181i) q^{47} +(-0.0985221 + 1.62876i) q^{48} +(9.99835 - 14.4851i) q^{49} +(1.42158 + 0.639803i) q^{50} +(1.18483 - 3.80225i) q^{51} -0.0796886 q^{52} +(0.925033 - 7.22110i) q^{53} -4.46082i q^{54} +(3.78523 + 5.10630i) q^{55} +(13.9207 + 6.26522i) q^{56} +(-0.128242 + 0.185791i) q^{57} +(-9.63644 - 0.582897i) q^{58} +(4.35638 - 4.91733i) q^{59} +(0.379335 + 0.722762i) q^{60} +(3.99579 + 5.10025i) q^{61} +(-2.47116 + 2.18926i) q^{62} +(-11.7245 - 4.44653i) q^{63} +(-2.08300 + 8.45107i) q^{64} +(0.210788 - 0.127426i) q^{65} +(-0.0713573 + 2.67533i) q^{66} +(-3.87406 + 0.709949i) q^{67} +(1.67061 - 3.18309i) q^{68} +(-0.782219 - 2.06254i) q^{69} +(-11.0850 + 1.34596i) q^{70} +(-12.3373 + 5.55255i) q^{71} +(1.40259 - 7.65370i) q^{72} +(-0.240684 + 0.307210i) q^{73} +(-0.391922 + 0.0237069i) q^{74} +(0.780112 + 0.471594i) q^{75} +(-0.144091 + 0.144091i) q^{76} +(15.2202 + 6.24134i) q^{77} +(0.102952 + 0.0125006i) q^{78} +(-0.430301 - 1.38088i) q^{79} +(-1.35440 - 4.34643i) q^{80} +(-0.599790 + 4.93971i) q^{81} +(1.87854 + 7.62155i) q^{82} +(-2.05730 - 2.05730i) q^{83} +(1.80783 + 1.09287i) q^{84} +(0.670890 + 11.0911i) q^{85} +(1.27351 - 1.62551i) q^{86} +(-5.55272 - 1.01757i) q^{87} +(-2.10709 + 9.98809i) q^{88} +(-0.492323 - 4.05465i) q^{89} +(2.01831 + 5.32184i) q^{90} +(0.296241 - 0.564440i) q^{91} +(-0.358913 - 1.95852i) q^{92} +(-1.58878 + 1.09665i) q^{93} +(1.00977 + 1.67036i) q^{94} +(0.150733 - 0.611549i) q^{95} +(-0.819682 + 2.16132i) q^{96} +(-1.52499 + 1.35102i) q^{97} +(-16.2757 + 12.7512i) q^{98} +(1.23227 - 8.29388i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) \) 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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